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Finding the Fourth Proportional to 654,845,934.30, 982,268,901.45 and 654,845,934.30

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Solution

The fourth proportional to 654,845,934.30, 982,268,901.45 and 654,845,934.30 is: 982,268,901.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,845,934.30 : 982,268,901.45 = 654,845,934.30 : x
  2. Step 2: Convert to fraction form
    654,845,934.30/982,268,901.45 = 654,845,934.30/x
  3. Step 3: Cross multiply
    654,845,934.30x = 982,268,901.45 × 654,845,934.30
  4. Step 4: Simplify right side
    654,845,934.30x = 643,234,796,503,859,840
  5. Step 5: Solve for x
    x = 643,234,796,503,859,840/654,845,934.30
  6. Step 6: Final answer
    x = 982,268,901.45

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.