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Finding the Fourth Proportional to 632,164,502.40, 946,971,295.20 and 632,164,502.40

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Solution

The fourth proportional to 632,164,502.40, 946,971,295.20 and 632,164,502.40 is: 946,971,295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,164,502.40 : 946,971,295.20 = 632,164,502.40 : x
  2. Step 2: Convert to fraction form
    632,164,502.40/946,971,295.20 = 632,164,502.40/x
  3. Step 3: Cross multiply
    632,164,502.40x = 946,971,295.20 × 632,164,502.40
  4. Step 4: Simplify right side
    632,164,502.40x = 598,641,637,617,191,552
  5. Step 5: Solve for x
    x = 598,641,637,617,191,552/632,164,502.40
  6. Step 6: Final answer
    x = 946,971,295.20

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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.