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Finding the Fourth Proportional to 550,924,430.80, 826,386,646.20 and 550,924,430.80

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Solution

The fourth proportional to 550,924,430.80, 826,386,646.20 and 550,924,430.80 is: 826,386,646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,924,430.80 : 826,386,646.20 = 550,924,430.80 : x
  2. Step 2: Convert to fraction form
    550,924,430.80/826,386,646.20 = 550,924,430.80/x
  3. Step 3: Cross multiply
    550,924,430.80x = 826,386,646.20 × 550,924,430.80
  4. Step 4: Simplify right side
    550,924,430.80x = 455,276,592,678,456,000
  5. Step 5: Solve for x
    x = 455,276,592,678,456,000/550,924,430.80
  6. Step 6: Final answer
    x = 826,386,646.20

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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.