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Finding the Fourth Proportional to 165,024,888,000.80, 247,537,332,001.20 and 165,024,888,000.80

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Solution

The fourth proportional to 165,024,888,000.80, 247,537,332,001.20 and 165,024,888,000.80 is: 247,537,332,001.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,024,888,000.80 : 247,537,332,001.20 = 165,024,888,000.80 : x
  2. Step 2: Convert to fraction form
    165,024,888,000.80/247,537,332,001.20 = 165,024,888,000.80/x
  3. Step 3: Cross multiply
    165,024,888,000.80x = 247,537,332,001.20 × 165,024,888,000.80
  4. Step 4: Simplify right side
    165,024,888,000.80x = 40,849,820,489,514,871,685,120
  5. Step 5: Solve for x
    x = 40,849,820,489,514,871,685,120/165,024,888,000.80
  6. Step 6: Final answer
    x = 247,537,332,001.20

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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.