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Finding the Fourth Proportional to 36,145,731,209.20, 54,218,596,813.80 and 36,145,731,209.20

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Solution

The fourth proportional to 36,145,731,209.20, 54,218,596,813.80 and 36,145,731,209.20 is: 54,218,596,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,145,731,209.20 : 54,218,596,813.80 = 36,145,731,209.20 : x
  2. Step 2: Convert to fraction form
    36,145,731,209.20/54,218,596,813.80 = 36,145,731,209.20/x
  3. Step 3: Cross multiply
    36,145,731,209.20x = 54,218,596,813.80 × 36,145,731,209.20
  4. Step 4: Simplify right side
    36,145,731,209.20x = 1,959,770,826,971,602,223,104
  5. Step 5: Solve for x
    x = 1,959,770,826,971,602,223,104/36,145,731,209.20
  6. Step 6: Final answer
    x = 54,218,596,813.80

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Double scale
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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.