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Finding the Fourth Proportional to 929,071,963,500.90, 1,393,607,945,251.40 and 929,071,963,500.90

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Solution

The fourth proportional to 929,071,963,500.90, 1,393,607,945,251.40 and 929,071,963,500.90 is: 1,393,607,945,251.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,071,963,500.90 : 1,393,607,945,251.40 = 929,071,963,500.90 : x
  2. Step 2: Convert to fraction form
    929,071,963,500.90/1,393,607,945,251.40 = 929,071,963,500.90/x
  3. Step 3: Cross multiply
    929,071,963,500.90x = 1,393,607,945,251.40 × 929,071,963,500.90
  4. Step 4: Simplify right side
    929,071,963,500.90x = 1,294,762,070,045,172,944,601,088
  5. Step 5: Solve for x
    x = 1,294,762,070,045,172,944,601,088/929,071,963,500.90
  6. Step 6: Final answer
    x = 1,393,607,945,251.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.