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Finding the Fourth Proportional to 646,901,373.80, 970,352,060.70 and 577,029,348.20

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Solution

The fourth proportional to 646,901,373.80, 970,352,060.70 and 577,029,348.20 is: 865,544,022.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,901,373.80 : 970,352,060.70 = 577,029,348.20 : x
  2. Step 2: Convert to fraction form
    646,901,373.80/970,352,060.70 = 577,029,348.20/x
  3. Step 3: Cross multiply
    646,901,373.80x = 970,352,060.70 × 577,029,348.20
  4. Step 4: Simplify right side
    646,901,373.80x = 559,921,617,110,247,936
  5. Step 5: Solve for x
    x = 559,921,617,110,247,936/646,901,373.80
  6. Step 6: Final answer
    x = 865,544,022.30

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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.