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Finding the Fourth Proportional to 768,734,132.18, 1,060,847,820 and 416,302,057.89

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Solution

The fourth proportional to 768,734,132.18, 1,060,847,820 and 416,302,057.89 is: 574,493,979.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,734,132.18 : 1,060,847,820 = 416,302,057.89 : x
  2. Step 2: Convert to fraction form
    768,734,132.18/1,060,847,820 = 416,302,057.89/x
  3. Step 3: Cross multiply
    768,734,132.18x = 1,060,847,820 × 416,302,057.89
  4. Step 4: Simplify right side
    768,734,132.18x = 441,633,130,574,120,256
  5. Step 5: Solve for x
    x = 441,633,130,574,120,256/768,734,132.18
  6. Step 6: Final answer
    x = 574,493,979.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.