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Finding the Fourth Proportional to 15,142,788,006.10, 22,714,182,009.14 and 15,142,788,006.10

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Solution

The fourth proportional to 15,142,788,006.10, 22,714,182,009.14 and 15,142,788,006.10 is: 22,714,182,009.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142,788,006.10 : 22,714,182,009.14 = 15,142,788,006.10 : x
  2. Step 2: Convert to fraction form
    15,142,788,006.10/22,714,182,009.14 = 15,142,788,006.10/x
  3. Step 3: Cross multiply
    15,142,788,006.10x = 22,714,182,009.14 × 15,142,788,006.10
  4. Step 4: Simplify right side
    15,142,788,006.10x = 343,956,042,896,377,577,472
  5. Step 5: Solve for x
    x = 343,956,042,896,377,577,472/15,142,788,006.10
  6. Step 6: Final answer
    x = 22,714,182,009.14

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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.