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Finding the Fourth Proportional to 19,679,652,068.74, 29,519,478,103.11 and 19,679,652,068.74

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Solution

The fourth proportional to 19,679,652,068.74, 29,519,478,103.11 and 19,679,652,068.74 is: 29,519,478,103.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,679,652,068.74 : 29,519,478,103.11 = 19,679,652,068.74 : x
  2. Step 2: Convert to fraction form
    19,679,652,068.74/29,519,478,103.11 = 19,679,652,068.74/x
  3. Step 3: Cross multiply
    19,679,652,068.74x = 29,519,478,103.11 × 19,679,652,068.74
  4. Step 4: Simplify right side
    19,679,652,068.74x = 580,933,058,319,875,702,784
  5. Step 5: Solve for x
    x = 580,933,058,319,875,702,784/19,679,652,068.74
  6. Step 6: Final answer
    x = 29,519,478,103.11

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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.