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Finding the Fourth Proportional to 13,108,896,023.10, 19,663,344,034.65 and 13,108,896,023.10

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Solution

The fourth proportional to 13,108,896,023.10, 19,663,344,034.65 and 13,108,896,023.10 is: 19,663,344,034.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,108,896,023.10 : 19,663,344,034.65 = 13,108,896,023.10 : x
  2. Step 2: Convert to fraction form
    13,108,896,023.10/19,663,344,034.65 = 13,108,896,023.10/x
  3. Step 3: Cross multiply
    13,108,896,023.10x = 19,663,344,034.65 × 13,108,896,023.10
  4. Step 4: Simplify right side
    13,108,896,023.10x = 257,764,732,416,670,531,584
  5. Step 5: Solve for x
    x = 257,764,732,416,670,531,584/13,108,896,023.10
  6. Step 6: Final answer
    x = 19,663,344,034.65

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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.