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Finding the Fourth Proportional to 325,820,100.90, 488,730,151.35 and 325,820,100.90

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Solution

The fourth proportional to 325,820,100.90, 488,730,151.35 and 325,820,100.90 is: 488,730,151.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,820,100.90 : 488,730,151.35 = 325,820,100.90 : x
  2. Step 2: Convert to fraction form
    325,820,100.90/488,730,151.35 = 325,820,100.90/x
  3. Step 3: Cross multiply
    325,820,100.90x = 488,730,151.35 × 325,820,100.90
  4. Step 4: Simplify right side
    325,820,100.90x = 159,238,107,225,729,280
  5. Step 5: Solve for x
    x = 159,238,107,225,729,280/325,820,100.90
  6. Step 6: Final answer
    x = 488,730,151.35

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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.