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Finding the Fourth Proportional to 3,129,124,608,300.90, 4,693,686,912,451.30 and 3,129,124,608,300.90

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Solution

The fourth proportional to 3,129,124,608,300.90, 4,693,686,912,451.30 and 3,129,124,608,300.90 is: 4,693,686,912,451.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129,124,608,300.90 : 4,693,686,912,451.30 = 3,129,124,608,300.90 : x
  2. Step 2: Convert to fraction form
    3,129,124,608,300.90/4,693,686,912,451.30 = 3,129,124,608,300.90/x
  3. Step 3: Cross multiply
    3,129,124,608,300.90x = 4,693,686,912,451.30 × 3,129,124,608,300.90
  4. Step 4: Simplify right side
    3,129,124,608,300.90x = 14,687,131,221,411,233,909,440,512
  5. Step 5: Solve for x
    x = 14,687,131,221,411,233,909,440,512/3,129,124,608,300.90
  6. Step 6: Final answer
    x = 4,693,686,912,451.30

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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.