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Finding the Fourth Proportional to 690,607,205.40, 1,035,910,808.10 and 690,607,205.40

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Solution

The fourth proportional to 690,607,205.40, 1,035,910,808.10 and 690,607,205.40 is: 1,035,910,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,607,205.40 : 1,035,910,808.10 = 690,607,205.40 : x
  2. Step 2: Convert to fraction form
    690,607,205.40/1,035,910,808.10 = 690,607,205.40/x
  3. Step 3: Cross multiply
    690,607,205.40x = 1,035,910,808.10 × 690,607,205.40
  4. Step 4: Simplify right side
    690,607,205.40x = 715,407,468,225,596,672
  5. Step 5: Solve for x
    x = 715,407,468,225,596,672/690,607,205.40
  6. Step 6: Final answer
    x = 1,035,910,808.10

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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.