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Finding the Fourth Proportional to 488,448,920.80, 732,673,381.20 and 485,047,698.40

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Solution

The fourth proportional to 488,448,920.80, 732,673,381.20 and 485,047,698.40 is: 727,571,547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,448,920.80 : 732,673,381.20 = 485,047,698.40 : x
  2. Step 2: Convert to fraction form
    488,448,920.80/732,673,381.20 = 485,047,698.40/x
  3. Step 3: Cross multiply
    488,448,920.80x = 732,673,381.20 × 485,047,698.40
  4. Step 4: Simplify right side
    488,448,920.80x = 355,381,537,230,005,824
  5. Step 5: Solve for x
    x = 355,381,537,230,005,824/488,448,920.80
  6. Step 6: Final answer
    x = 727,571,547.60

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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.