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Finding the Fourth Proportional to 517,951,205.30, 776,926,807.95 and 517,951,205.30

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Solution

The fourth proportional to 517,951,205.30, 776,926,807.95 and 517,951,205.30 is: 776,926,807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,951,205.30 : 776,926,807.95 = 517,951,205.30 : x
  2. Step 2: Convert to fraction form
    517,951,205.30/776,926,807.95 = 517,951,205.30/x
  3. Step 3: Cross multiply
    517,951,205.30x = 776,926,807.95 × 517,951,205.30
  4. Step 4: Simplify right side
    517,951,205.30x = 402,410,176,607,584,128
  5. Step 5: Solve for x
    x = 402,410,176,607,584,128/517,951,205.30
  6. Step 6: Final answer
    x = 776,926,807.95

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