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Finding the Fourth Proportional to 803,088,057.60, 1,202,364,604.80 and 803,088,057.60

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Solution

The fourth proportional to 803,088,057.60, 1,202,364,604.80 and 803,088,057.60 is: 1,202,364,604.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,088,057.60 : 1,202,364,604.80 = 803,088,057.60 : x
  2. Step 2: Convert to fraction form
    803,088,057.60/1,202,364,604.80 = 803,088,057.60/x
  3. Step 3: Cross multiply
    803,088,057.60x = 1,202,364,604.80 × 803,088,057.60
  4. Step 4: Simplify right side
    803,088,057.60x = 965,604,654,995,823,616
  5. Step 5: Solve for x
    x = 965,604,654,995,823,616/803,088,057.60
  6. Step 6: Final answer
    x = 1,202,364,604.80

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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.