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Finding the Fourth Proportional to 355,023,009.90, 532,534,514.90 and 355,023,009.90

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Solution

The fourth proportional to 355,023,009.90, 532,534,514.90 and 355,023,009.90 is: 532,534,514.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,023,009.90 : 532,534,514.90 = 355,023,009.90 : x
  2. Step 2: Convert to fraction form
    355,023,009.90/532,534,514.90 = 355,023,009.90/x
  3. Step 3: Cross multiply
    355,023,009.90x = 532,534,514.90 × 355,023,009.90
  4. Step 4: Simplify right side
    355,023,009.90x = 189,062,006,353,659,264
  5. Step 5: Solve for x
    x = 189,062,006,353,659,264/355,023,009.90
  6. Step 6: Final answer
    x = 532,534,514.90

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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.