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Finding the Fourth Proportional to 517,948,902.80, 776,923,354.20 and 517,948,902.80

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Solution

The fourth proportional to 517,948,902.80, 776,923,354.20 and 517,948,902.80 is: 776,923,354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,948,902.80 : 776,923,354.20 = 517,948,902.80 : x
  2. Step 2: Convert to fraction form
    517,948,902.80/776,923,354.20 = 517,948,902.80/x
  3. Step 3: Cross multiply
    517,948,902.80x = 776,923,354.20 × 517,948,902.80
  4. Step 4: Simplify right side
    517,948,902.80x = 402,406,598,867,585,792
  5. Step 5: Solve for x
    x = 402,406,598,867,585,792/517,948,902.80
  6. Step 6: Final answer
    x = 776,923,354.20

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1.5x scale

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.