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Finding the Fourth Proportional to 468,154,704.80, 702,019,480.80 and 176,925,036.80

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Solution

The fourth proportional to 468,154,704.80, 702,019,480.80 and 176,925,036.80 is: 265,307,218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,154,704.80 : 702,019,480.80 = 176,925,036.80 : x
  2. Step 2: Convert to fraction form
    468,154,704.80/702,019,480.80 = 176,925,036.80/x
  3. Step 3: Cross multiply
    468,154,704.80x = 702,019,480.80 × 176,925,036.80
  4. Step 4: Simplify right side
    468,154,704.80x = 124,204,822,474,856,896
  5. Step 5: Solve for x
    x = 124,204,822,474,856,896/468,154,704.80
  6. Step 6: Final answer
    x = 265,307,218.32

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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.