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Finding the Fourth Proportional to 940,581,783.90, 1,409,172,064.65 and 804,532,887.90

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Solution

The fourth proportional to 940,581,783.90, 1,409,172,064.65 and 804,532,887.90 is: 1,205,344,702.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,581,783.90 : 1,409,172,064.65 = 804,532,887.90 : x
  2. Step 2: Convert to fraction form
    940,581,783.90/1,409,172,064.65 = 804,532,887.90/x
  3. Step 3: Cross multiply
    940,581,783.90x = 1,409,172,064.65 × 804,532,887.90
  4. Step 4: Simplify right side
    940,581,783.90x = 1,133,725,270,720,870,016
  5. Step 5: Solve for x
    x = 1,133,725,270,720,870,016/940,581,783.90
  6. Step 6: Final answer
    x = 1,205,344,702.74

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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.