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Finding the Fourth Proportional to 517,787,337.60, 776,681,006.40 and 314,607,715.20

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Solution

The fourth proportional to 517,787,337.60, 776,681,006.40 and 314,607,715.20 is: 471,911,572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,787,337.60 : 776,681,006.40 = 314,607,715.20 : x
  2. Step 2: Convert to fraction form
    517,787,337.60/776,681,006.40 = 314,607,715.20/x
  3. Step 3: Cross multiply
    517,787,337.60x = 776,681,006.40 × 314,607,715.20
  4. Step 4: Simplify right side
    517,787,337.60x = 244,349,836,862,740,576
  5. Step 5: Solve for x
    x = 244,349,836,862,740,576/517,787,337.60
  6. Step 6: Final answer
    x = 471,911,572.80

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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.