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Finding the Fourth Proportional to 10,472,677,672.80, 15,709,016,509.20 and 10,472,677,672.80

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Solution

The fourth proportional to 10,472,677,672.80, 15,709,016,509.20 and 10,472,677,672.80 is: 15,709,016,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472,677,672.80 : 15,709,016,509.20 = 10,472,677,672.80 : x
  2. Step 2: Convert to fraction form
    10,472,677,672.80/15,709,016,509.20 = 10,472,677,672.80/x
  3. Step 3: Cross multiply
    10,472,677,672.80x = 15,709,016,509.20 × 10,472,677,672.80
  4. Step 4: Simplify right side
    10,472,677,672.80x = 164,515,466,457,545,441,280
  5. Step 5: Solve for x
    x = 164,515,466,457,545,441,280/10,472,677,672.80
  6. Step 6: Final answer
    x = 15,709,016,509.20

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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.