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Finding the Fourth Proportional to 463,648,812.80, 695,473,219.20 and 140,490,694.40

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Solution

The fourth proportional to 463,648,812.80, 695,473,219.20 and 140,490,694.40 is: 210,736,041.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,648,812.80 : 695,473,219.20 = 140,490,694.40 : x
  2. Step 2: Convert to fraction form
    463,648,812.80/695,473,219.20 = 140,490,694.40/x
  3. Step 3: Cross multiply
    463,648,812.80x = 695,473,219.20 × 140,490,694.40
  4. Step 4: Simplify right side
    463,648,812.80x = 97,707,515,502,011,424
  5. Step 5: Solve for x
    x = 97,707,515,502,011,424/463,648,812.80
  6. Step 6: Final answer
    x = 210,736,041.60

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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.