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Finding the Fourth Proportional to 689,478,834.40, 1,034,218,251.60 and 689,478,834.40

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Solution

The fourth proportional to 689,478,834.40, 1,034,218,251.60 and 689,478,834.40 is: 1,034,218,251.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,478,834.40 : 1,034,218,251.60 = 689,478,834.40 : x
  2. Step 2: Convert to fraction form
    689,478,834.40/1,034,218,251.60 = 689,478,834.40/x
  3. Step 3: Cross multiply
    689,478,834.40x = 1,034,218,251.60 × 689,478,834.40
  4. Step 4: Simplify right side
    689,478,834.40x = 713,071,594,628,373,888
  5. Step 5: Solve for x
    x = 713,071,594,628,373,888/689,478,834.40
  6. Step 6: Final answer
    x = 1,034,218,251.60

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1.5x scale

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.