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Finding the Fourth Proportional to 760,850,778.64, 1,049,956,311 and 447,605,165.20

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Solution

The fourth proportional to 760,850,778.64, 1,049,956,311 and 447,605,165.20 is: 617,684,677.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,850,778.64 : 1,049,956,311 = 447,605,165.20 : x
  2. Step 2: Convert to fraction form
    760,850,778.64/1,049,956,311 = 447,605,165.20/x
  3. Step 3: Cross multiply
    760,850,778.64x = 1,049,956,311 × 447,605,165.20
  4. Step 4: Simplify right side
    760,850,778.64x = 469,965,868,037,937,536
  5. Step 5: Solve for x
    x = 469,965,868,037,937,536/760,850,778.64
  6. Step 6: Final answer
    x = 617,684,677.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.