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Finding the Fourth Proportional to 337,014,420.60, 473,180,677.80 and 337,014,420.60

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Solution

The fourth proportional to 337,014,420.60, 473,180,677.80 and 337,014,420.60 is: 473,180,677.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,014,420.60 : 473,180,677.80 = 337,014,420.60 : x
  2. Step 2: Convert to fraction form
    337,014,420.60/473,180,677.80 = 337,014,420.60/x
  3. Step 3: Cross multiply
    337,014,420.60x = 473,180,677.80 × 337,014,420.60
  4. Step 4: Simplify right side
    337,014,420.60x = 159,468,711,967,882,304
  5. Step 5: Solve for x
    x = 159,468,711,967,882,304/337,014,420.60
  6. Step 6: Final answer
    x = 473,180,677.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.