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Finding the Fourth Proportional to 517,389,640.20, 776,084,460.30 and 517,389,640.20

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Solution

The fourth proportional to 517,389,640.20, 776,084,460.30 and 517,389,640.20 is: 776,084,460.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,389,640.20 : 776,084,460.30 = 517,389,640.20 : x
  2. Step 2: Convert to fraction form
    517,389,640.20/776,084,460.30 = 517,389,640.20/x
  3. Step 3: Cross multiply
    517,389,640.20x = 776,084,460.30 × 517,389,640.20
  4. Step 4: Simplify right side
    517,389,640.20x = 401,538,059,679,428,160
  5. Step 5: Solve for x
    x = 401,538,059,679,428,160/517,389,640.20
  6. Step 6: Final answer
    x = 776,084,460.30

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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.