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Finding the Fourth Proportional to 510,948,010.80, 717,141,200.40 and 510,948,010.80

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Solution

The fourth proportional to 510,948,010.80, 717,141,200.40 and 510,948,010.80 is: 717,141,200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,948,010.80 : 717,141,200.40 = 510,948,010.80 : x
  2. Step 2: Convert to fraction form
    510,948,010.80/717,141,200.40 = 510,948,010.80/x
  3. Step 3: Cross multiply
    510,948,010.80x = 717,141,200.40 × 510,948,010.80
  4. Step 4: Simplify right side
    510,948,010.80x = 366,421,869,807,104,192
  5. Step 5: Solve for x
    x = 366,421,869,807,104,192/510,948,010.80
  6. Step 6: Final answer
    x = 717,141,200.40

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1.5x scale

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.