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Finding the Fourth Proportional to 704,092,195,801.20, 1,056,138,293,701.80 and 704,092,195,801.20

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Solution

The fourth proportional to 704,092,195,801.20, 1,056,138,293,701.80 and 704,092,195,801.20 is: 1,056,138,293,701.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,092,195,801.20 : 1,056,138,293,701.80 = 704,092,195,801.20 : x
  2. Step 2: Convert to fraction form
    704,092,195,801.20/1,056,138,293,701.80 = 704,092,195,801.20/x
  3. Step 3: Cross multiply
    704,092,195,801.20x = 1,056,138,293,701.80 × 704,092,195,801.20
  4. Step 4: Simplify right side
    704,092,195,801.20x = 743,618,730,282,233,041,518,592
  5. Step 5: Solve for x
    x = 743,618,730,282,233,041,518,592/704,092,195,801.20
  6. Step 6: Final answer
    x = 1,056,138,293,701.80

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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.