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Finding the Fourth Proportional to 724,036,698,695.90, 1,086,055,048,043.90 and 724,036,698,695.90

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Solution

The fourth proportional to 724,036,698,695.90, 1,086,055,048,043.90 and 724,036,698,695.90 is: 1,086,055,048,043.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,036,698,695.90 : 1,086,055,048,043.90 = 724,036,698,695.90 : x
  2. Step 2: Convert to fraction form
    724,036,698,695.90/1,086,055,048,043.90 = 724,036,698,695.90/x
  3. Step 3: Cross multiply
    724,036,698,695.90x = 1,086,055,048,043.90 × 724,036,698,695.90
  4. Step 4: Simplify right side
    724,036,698,695.90x = 786,343,711,587,722,493,689,856
  5. Step 5: Solve for x
    x = 786,343,711,587,722,493,689,856/724,036,698,695.90
  6. Step 6: Final answer
    x = 1,086,055,048,043.90

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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.