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Finding the Fourth Proportional to 147,652,435.85, 221,478,653.78 and 147,652,435.85

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Solution

The fourth proportional to 147,652,435.85, 221,478,653.78 and 147,652,435.85 is: 221,478,653.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,652,435.85 : 221,478,653.78 = 147,652,435.85 : x
  2. Step 2: Convert to fraction form
    147,652,435.85/221,478,653.78 = 147,652,435.85/x
  3. Step 3: Cross multiply
    147,652,435.85x = 221,478,653.78 × 147,652,435.85
  4. Step 4: Simplify right side
    147,652,435.85x = 32,701,862,718,657,548
  5. Step 5: Solve for x
    x = 32,701,862,718,657,548/147,652,435.85
  6. Step 6: Final answer
    x = 221,478,653.78

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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.