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Finding the Fourth Proportional to 463,602,210.40, 695,403,315.60 and 279,936,200.80

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Solution

The fourth proportional to 463,602,210.40, 695,403,315.60 and 279,936,200.80 is: 419,904,301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,602,210.40 : 695,403,315.60 = 279,936,200.80 : x
  2. Step 2: Convert to fraction form
    463,602,210.40/695,403,315.60 = 279,936,200.80/x
  3. Step 3: Cross multiply
    463,602,210.40x = 695,403,315.60 × 279,936,200.80
  4. Step 4: Simplify right side
    463,602,210.40x = 194,668,562,192,787,392
  5. Step 5: Solve for x
    x = 194,668,562,192,787,392/463,602,210.40
  6. Step 6: Final answer
    x = 419,904,301.20

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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.