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Finding the Fourth Proportional to 467,896,364.80, 701,844,547.20 and 431,616,659.20

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Solution

The fourth proportional to 467,896,364.80, 701,844,547.20 and 431,616,659.20 is: 647,424,988.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,896,364.80 : 701,844,547.20 = 431,616,659.20 : x
  2. Step 2: Convert to fraction form
    467,896,364.80/701,844,547.20 = 431,616,659.20/x
  3. Step 3: Cross multiply
    467,896,364.80x = 701,844,547.20 × 431,616,659.20
  4. Step 4: Simplify right side
    467,896,364.80x = 302,927,798,740,200,704
  5. Step 5: Solve for x
    x = 302,927,798,740,200,704/467,896,364.80
  6. Step 6: Final answer
    x = 647,424,988.80

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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.