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Finding the Fourth Proportional to 660,109,511.70, 990,164,267.55 and 660,109,511.70

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Solution

The fourth proportional to 660,109,511.70, 990,164,267.55 and 660,109,511.70 is: 990,164,267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,109,511.70 : 990,164,267.55 = 660,109,511.70 : x
  2. Step 2: Convert to fraction form
    660,109,511.70/990,164,267.55 = 660,109,511.70/x
  3. Step 3: Cross multiply
    660,109,511.70x = 990,164,267.55 × 660,109,511.70
  4. Step 4: Simplify right side
    660,109,511.70x = 653,616,851,155,218,688
  5. Step 5: Solve for x
    x = 653,616,851,155,218,688/660,109,511.70
  6. Step 6: Final answer
    x = 990,164,267.55

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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.