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Finding the Fourth Proportional to 456,365,513.70, 684,548,270.55 and 456,365,513.70

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Solution

The fourth proportional to 456,365,513.70, 684,548,270.55 and 456,365,513.70 is: 684,548,270.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,365,513.70 : 684,548,270.55 = 456,365,513.70 : x
  2. Step 2: Convert to fraction form
    456,365,513.70/684,548,270.55 = 456,365,513.70/x
  3. Step 3: Cross multiply
    456,365,513.70x = 684,548,270.55 × 456,365,513.70
  4. Step 4: Simplify right side
    456,365,513.70x = 312,404,223,141,997,312
  5. Step 5: Solve for x
    x = 312,404,223,141,997,312/456,365,513.70
  6. Step 6: Final answer
    x = 684,548,270.55

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Double scale
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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.