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Finding the Fourth Proportional to 557,491,897.60, 836,349,470.40 and 312,197,365.12

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Solution

The fourth proportional to 557,491,897.60, 836,349,470.40 and 312,197,365.12 is: 468,358,557.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,491,897.60 : 836,349,470.40 = 312,197,365.12 : x
  2. Step 2: Convert to fraction form
    557,491,897.60/836,349,470.40 = 312,197,365.12/x
  3. Step 3: Cross multiply
    557,491,897.60x = 836,349,470.40 × 312,197,365.12
  4. Step 4: Simplify right side
    557,491,897.60x = 261,106,100,978,387,424
  5. Step 5: Solve for x
    x = 261,106,100,978,387,424/557,491,897.60
  6. Step 6: Final answer
    x = 468,358,557.50

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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.