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Finding the Fourth Proportional to 125,672,146,411.60, 188,508,219,617.40 and 125,672,146,411.60

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Solution

The fourth proportional to 125,672,146,411.60, 188,508,219,617.40 and 125,672,146,411.60 is: 188,508,219,617.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,672,146,411.60 : 188,508,219,617.40 = 125,672,146,411.60 : x
  2. Step 2: Convert to fraction form
    125,672,146,411.60/188,508,219,617.40 = 125,672,146,411.60/x
  3. Step 3: Cross multiply
    125,672,146,411.60x = 188,508,219,617.40 × 125,672,146,411.60
  4. Step 4: Simplify right side
    125,672,146,411.60x = 23,690,232,575,547,938,963,456
  5. Step 5: Solve for x
    x = 23,690,232,575,547,938,963,456/125,672,146,411.60
  6. Step 6: Final answer
    x = 188,508,219,617.40

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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.