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Finding the Fourth Proportional to 75,152,663,141.60, 112,728,994,712.40 and 75,152,663,141.60

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Solution

The fourth proportional to 75,152,663,141.60, 112,728,994,712.40 and 75,152,663,141.60 is: 112,728,994,712.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,152,663,141.60 : 112,728,994,712.40 = 75,152,663,141.60 : x
  2. Step 2: Convert to fraction form
    75,152,663,141.60/112,728,994,712.40 = 75,152,663,141.60/x
  3. Step 3: Cross multiply
    75,152,663,141.60x = 112,728,994,712.40 × 75,152,663,141.60
  4. Step 4: Simplify right side
    75,152,663,141.60x = 8,471,884,165,912,205,459,456
  5. Step 5: Solve for x
    x = 8,471,884,165,912,205,459,456/75,152,663,141.60
  6. Step 6: Final answer
    x = 112,728,994,712.40

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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.