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Finding the Fourth Proportional to 470,911,924,862.80, 706,367,887,294.20 and 470,911,924,862.80

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Solution

The fourth proportional to 470,911,924,862.80, 706,367,887,294.20 and 470,911,924,862.80 is: 706,367,887,294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,911,924,862.80 : 706,367,887,294.20 = 470,911,924,862.80 : x
  2. Step 2: Convert to fraction form
    470,911,924,862.80/706,367,887,294.20 = 470,911,924,862.80/x
  3. Step 3: Cross multiply
    470,911,924,862.80x = 706,367,887,294.20 × 470,911,924,862.80
  4. Step 4: Simplify right side
    470,911,924,862.80x = 332,637,061,466,981,079,711,744
  5. Step 5: Solve for x
    x = 332,637,061,466,981,079,711,744/470,911,924,862.80
  6. Step 6: Final answer
    x = 706,367,887,294.20

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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.