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Finding the Fourth Proportional to 374,134,464,147.20, 561,201,696,220.80 and 374,134,464,147.20

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Solution

The fourth proportional to 374,134,464,147.20, 561,201,696,220.80 and 374,134,464,147.20 is: 561,201,696,220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,134,464,147.20 : 561,201,696,220.80 = 374,134,464,147.20 : x
  2. Step 2: Convert to fraction form
    374,134,464,147.20/561,201,696,220.80 = 374,134,464,147.20/x
  3. Step 3: Cross multiply
    374,134,464,147.20x = 561,201,696,220.80 × 374,134,464,147.20
  4. Step 4: Simplify right side
    374,134,464,147.20x = 209,964,895,894,068,759,887,872
  5. Step 5: Solve for x
    x = 209,964,895,894,068,759,887,872/374,134,464,147.20
  6. Step 6: Final answer
    x = 561,201,696,220.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.