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Finding the Fourth Proportional to 325,808,834,148.80, 488,713,251,223.20 and 325,808,834,148.80

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Solution

The fourth proportional to 325,808,834,148.80, 488,713,251,223.20 and 325,808,834,148.80 is: 488,713,251,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,808,834,148.80 : 488,713,251,223.20 = 325,808,834,148.80 : x
  2. Step 2: Convert to fraction form
    325,808,834,148.80/488,713,251,223.20 = 325,808,834,148.80/x
  3. Step 3: Cross multiply
    325,808,834,148.80x = 488,713,251,223.20 × 325,808,834,148.80
  4. Step 4: Simplify right side
    325,808,834,148.80x = 159,227,094,614,100,397,785,088
  5. Step 5: Solve for x
    x = 159,227,094,614,100,397,785,088/325,808,834,148.80
  6. Step 6: Final answer
    x = 488,713,251,223.20

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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.