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Finding the Fourth Proportional to 1,000,586,489.81, 1,380,004,223.93 and 879,625,845.64

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Solution

The fourth proportional to 1,000,586,489.81, 1,380,004,223.93 and 879,625,845.64 is: 1,213,175,867.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,586,489.81 : 1,380,004,223.93 = 879,625,845.64 : x
  2. Step 2: Convert to fraction form
    1,000,586,489.81/1,380,004,223.93 = 879,625,845.64/x
  3. Step 3: Cross multiply
    1,000,586,489.81x = 1,380,004,223.93 × 879,625,845.64
  4. Step 4: Simplify right side
    1,000,586,489.81x = 1,213,887,382,453,350,144
  5. Step 5: Solve for x
    x = 1,213,887,382,453,350,144/1,000,586,489.81
  6. Step 6: Final answer
    x = 1,213,175,867.17

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1.5x scale

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.