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Finding the Fourth Proportional to 498,640,570.02, 747,925,381.89 and 153,558,214.02

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Solution

The fourth proportional to 498,640,570.02, 747,925,381.89 and 153,558,214.02 is: 230,326,396.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,640,570.02 : 747,925,381.89 = 153,558,214.02 : x
  2. Step 2: Convert to fraction form
    498,640,570.02/747,925,381.89 = 153,558,214.02/x
  3. Step 3: Cross multiply
    498,640,570.02x = 747,925,381.89 × 153,558,214.02
  4. Step 4: Simplify right side
    498,640,570.02x = 114,850,085,863,254,864
  5. Step 5: Solve for x
    x = 114,850,085,863,254,864/498,640,570.02
  6. Step 6: Final answer
    x = 230,326,396.94

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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.