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Finding the Fourth Proportional to 702,381,298.39, 969,207,984.27 and 389,037,041.78

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Solution

The fourth proportional to 702,381,298.39, 969,207,984.27 and 389,037,041.78 is: 536,827,799.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,381,298.39 : 969,207,984.27 = 389,037,041.78 : x
  2. Step 2: Convert to fraction form
    702,381,298.39/969,207,984.27 = 389,037,041.78/x
  3. Step 3: Cross multiply
    702,381,298.39x = 969,207,984.27 × 389,037,041.78
  4. Step 4: Simplify right side
    702,381,298.39x = 377,057,807,065,111,488
  5. Step 5: Solve for x
    x = 377,057,807,065,111,488/702,381,298.39
  6. Step 6: Final answer
    x = 536,827,799.84

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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.