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Finding the Fourth Proportional to 24,767,688,006.70, 34,772,718,414.50 and 24,767,688,006.70

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Solution

The fourth proportional to 24,767,688,006.70, 34,772,718,414.50 and 24,767,688,006.70 is: 34,772,718,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,767,688,006.70 : 34,772,718,414.50 = 24,767,688,006.70 : x
  2. Step 2: Convert to fraction form
    24,767,688,006.70/34,772,718,414.50 = 24,767,688,006.70/x
  3. Step 3: Cross multiply
    24,767,688,006.70x = 34,772,718,414.50 × 24,767,688,006.70
  4. Step 4: Simplify right side
    24,767,688,006.70x = 861,239,840,835,167,977,472
  5. Step 5: Solve for x
    x = 861,239,840,835,167,977,472/24,767,688,006.70
  6. Step 6: Final answer
    x = 34,772,718,414.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.