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Finding the Fourth Proportional to 325,814,647.10, 488,721,970.65 and 325,814,647.10

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Solution

The fourth proportional to 325,814,647.10, 488,721,970.65 and 325,814,647.10 is: 488,721,970.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,814,647.10 : 488,721,970.65 = 325,814,647.10 : x
  2. Step 2: Convert to fraction form
    325,814,647.10/488,721,970.65 = 325,814,647.10/x
  3. Step 3: Cross multiply
    325,814,647.10x = 488,721,970.65 × 325,814,647.10
  4. Step 4: Simplify right side
    325,814,647.10x = 159,232,776,397,346,304
  5. Step 5: Solve for x
    x = 159,232,776,397,346,304/325,814,647.10
  6. Step 6: Final answer
    x = 488,721,970.65

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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.