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Finding the Fourth Proportional to 265,730,809.20, 398,596,213.80 and 265,730,809.20

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Solution

The fourth proportional to 265,730,809.20, 398,596,213.80 and 265,730,809.20 is: 398,596,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,730,809.20 : 398,596,213.80 = 265,730,809.20 : x
  2. Step 2: Convert to fraction form
    265,730,809.20/398,596,213.80 = 265,730,809.20/x
  3. Step 3: Cross multiply
    265,730,809.20x = 398,596,213.80 × 265,730,809.20
  4. Step 4: Simplify right side
    265,730,809.20x = 105,919,294,437,130,208
  5. Step 5: Solve for x
    x = 105,919,294,437,130,208/265,730,809.20
  6. Step 6: Final answer
    x = 398,596,213.80

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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.