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Finding the Fourth Proportional to 645,152,558.80, 966,385,145.40 and 645,152,558.80

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Solution

The fourth proportional to 645,152,558.80, 966,385,145.40 and 645,152,558.80 is: 966,385,145.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,152,558.80 : 966,385,145.40 = 645,152,558.80 : x
  2. Step 2: Convert to fraction form
    645,152,558.80/966,385,145.40 = 645,152,558.80/x
  3. Step 3: Cross multiply
    645,152,558.80x = 966,385,145.40 × 645,152,558.80
  4. Step 4: Simplify right side
    645,152,558.80x = 623,465,849,341,120,000
  5. Step 5: Solve for x
    x = 623,465,849,341,120,000/645,152,558.80
  6. Step 6: Final answer
    x = 966,385,145.40

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Double scale
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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.