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Finding the Fourth Proportional to 242,643,416, 363,965,124 and 81,085,352

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Solution

The fourth proportional to 242,643,416, 363,965,124 and 81,085,352 is: 121,628,028

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,643,416 : 363,965,124 = 81,085,352 : x
  2. Step 2: Convert to fraction form
    242,643,416/363,965,124 = 81,085,352/x
  3. Step 3: Cross multiply
    242,643,416x = 363,965,124 × 81,085,352
  4. Step 4: Simplify right side
    242,643,416x = 29,512,240,195,263,648
  5. Step 5: Solve for x
    x = 29,512,240,195,263,648/242,643,416
  6. Step 6: Final answer
    x = 121,628,028

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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.