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Finding the Fourth Proportional to 325,841,292,001.02, 488,761,938,001.53 and 325,841,292,001.02

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Solution

The fourth proportional to 325,841,292,001.02, 488,761,938,001.53 and 325,841,292,001.02 is: 488,761,938,001.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,841,292,001.02 : 488,761,938,001.53 = 325,841,292,001.02 : x
  2. Step 2: Convert to fraction form
    325,841,292,001.02/488,761,938,001.53 = 325,841,292,001.02/x
  3. Step 3: Cross multiply
    325,841,292,001.02x = 488,761,938,001.53 × 325,841,292,001.02
  4. Step 4: Simplify right side
    325,841,292,001.02x = 159,258,821,359,340,976,340,992
  5. Step 5: Solve for x
    x = 159,258,821,359,340,976,340,992/325,841,292,001.02
  6. Step 6: Final answer
    x = 488,761,938,001.53

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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.