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Finding the Fourth Proportional to 155,117,314.47, 232,673,978.70 and 51,534,149.16

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Solution

The fourth proportional to 155,117,314.47, 232,673,978.70 and 51,534,149.16 is: 77,300,561.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,117,314.47 : 232,673,978.70 = 51,534,149.16 : x
  2. Step 2: Convert to fraction form
    155,117,314.47/232,673,978.70 = 51,534,149.16/x
  3. Step 3: Cross multiply
    155,117,314.47x = 232,673,978.70 × 51,534,149.16
  4. Step 4: Simplify right side
    155,117,314.47x = 11,990,655,523,976,462
  5. Step 5: Solve for x
    x = 11,990,655,523,976,462/155,117,314.47
  6. Step 6: Final answer
    x = 77,300,561.61

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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.