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Finding the Fourth Proportional to 675,264,772.80, 947,520,590.40 and 675,264,772.80

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Solution

The fourth proportional to 675,264,772.80, 947,520,590.40 and 675,264,772.80 is: 947,520,590.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,264,772.80 : 947,520,590.40 = 675,264,772.80 : x
  2. Step 2: Convert to fraction form
    675,264,772.80/947,520,590.40 = 675,264,772.80/x
  3. Step 3: Cross multiply
    675,264,772.80x = 947,520,590.40 × 675,264,772.80
  4. Step 4: Simplify right side
    675,264,772.80x = 639,827,276,199,777,792
  5. Step 5: Solve for x
    x = 639,827,276,199,777,792/675,264,772.80
  6. Step 6: Final answer
    x = 947,520,590.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.