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Finding the Fourth Proportional to 577,375,445.40, 866,063,168.10 and 577,375,445.40

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Solution

The fourth proportional to 577,375,445.40, 866,063,168.10 and 577,375,445.40 is: 866,063,168.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,375,445.40 : 866,063,168.10 = 577,375,445.40 : x
  2. Step 2: Convert to fraction form
    577,375,445.40/866,063,168.10 = 577,375,445.40/x
  3. Step 3: Cross multiply
    577,375,445.40x = 866,063,168.10 × 577,375,445.40
  4. Step 4: Simplify right side
    577,375,445.40x = 500,043,607,426,272,576
  5. Step 5: Solve for x
    x = 500,043,607,426,272,576/577,375,445.40
  6. Step 6: Final answer
    x = 866,063,168.10

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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.