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Finding the Fourth Proportional to 347,681,898,068.80, 521,522,847,103.20 and 347,681,898,068.80

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Solution

The fourth proportional to 347,681,898,068.80, 521,522,847,103.20 and 347,681,898,068.80 is: 521,522,847,103.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,681,898,068.80 : 521,522,847,103.20 = 347,681,898,068.80 : x
  2. Step 2: Convert to fraction form
    347,681,898,068.80/521,522,847,103.20 = 347,681,898,068.80/x
  3. Step 3: Cross multiply
    347,681,898,068.80x = 521,522,847,103.20 × 347,681,898,068.80
  4. Step 4: Simplify right side
    347,681,898,068.80x = 181,324,053,367,085,137,395,712
  5. Step 5: Solve for x
    x = 181,324,053,367,085,137,395,712/347,681,898,068.80
  6. Step 6: Final answer
    x = 521,522,847,103.20

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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.