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Finding the Fourth Proportional to 265,767,602.10, 398,651,403.15 and 265,767,602.10

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Solution

The fourth proportional to 265,767,602.10, 398,651,403.15 and 265,767,602.10 is: 398,651,403.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,767,602.10 : 398,651,403.15 = 265,767,602.10 : x
  2. Step 2: Convert to fraction form
    265,767,602.10/398,651,403.15 = 265,767,602.10/x
  3. Step 3: Cross multiply
    265,767,602.10x = 398,651,403.15 × 265,767,602.10
  4. Step 4: Simplify right side
    265,767,602.10x = 105,948,627,488,975,872
  5. Step 5: Solve for x
    x = 105,948,627,488,975,872/265,767,602.10
  6. Step 6: Final answer
    x = 398,651,403.15

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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.