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Finding the Fourth Proportional to 567,651,470.10, 851,477,205.15 and 567,651,470.10

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Solution

The fourth proportional to 567,651,470.10, 851,477,205.15 and 567,651,470.10 is: 851,477,205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,651,470.10 : 851,477,205.15 = 567,651,470.10 : x
  2. Step 2: Convert to fraction form
    567,651,470.10/851,477,205.15 = 567,651,470.10/x
  3. Step 3: Cross multiply
    567,651,470.10x = 851,477,205.15 × 567,651,470.10
  4. Step 4: Simplify right side
    567,651,470.10x = 483,342,287,260,036,800
  5. Step 5: Solve for x
    x = 483,342,287,260,036,800/567,651,470.10
  6. Step 6: Final answer
    x = 851,477,205.15

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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.