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Finding the Fourth Proportional to 78,288,889,615.80, 117,433,334,423.70 and 78,288,889,615.80

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Solution

The fourth proportional to 78,288,889,615.80, 117,433,334,423.70 and 78,288,889,615.80 is: 117,433,334,423.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,288,889,615.80 : 117,433,334,423.70 = 78,288,889,615.80 : x
  2. Step 2: Convert to fraction form
    78,288,889,615.80/117,433,334,423.70 = 78,288,889,615.80/x
  3. Step 3: Cross multiply
    78,288,889,615.80x = 117,433,334,423.70 × 78,288,889,615.80
  4. Step 4: Simplify right side
    78,288,889,615.80x = 9,193,725,355,912,375,304,192
  5. Step 5: Solve for x
    x = 9,193,725,355,912,375,304,192/78,288,889,615.80
  6. Step 6: Final answer
    x = 117,433,334,423.70

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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.