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Finding the Fourth Proportional to 3,129,124,608,001.60, 4,693,686,912,002 and 3,129,124,608,001.60

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Solution

The fourth proportional to 3,129,124,608,001.60, 4,693,686,912,002 and 3,129,124,608,001.60 is: 4,693,686,912,002

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129,124,608,001.60 : 4,693,686,912,002 = 3,129,124,608,001.60 : x
  2. Step 2: Convert to fraction form
    3,129,124,608,001.60/4,693,686,912,002 = 3,129,124,608,001.60/x
  3. Step 3: Cross multiply
    3,129,124,608,001.60x = 4,693,686,912,002 × 3,129,124,608,001.60
  4. Step 4: Simplify right side
    3,129,124,608,001.60x = 14,687,131,218,600,499,936,755,712
  5. Step 5: Solve for x
    x = 14,687,131,218,600,499,936,755,712/3,129,124,608,001.60
  6. Step 6: Final answer
    x = 4,693,686,912,002

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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.