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Finding the Fourth Proportional to 100,133,496,768.30, 140,393,286,689.70 and 100,133,496,768.30

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Solution

The fourth proportional to 100,133,496,768.30, 140,393,286,689.70 and 100,133,496,768.30 is: 140,393,286,689.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,133,496,768.30 : 140,393,286,689.70 = 100,133,496,768.30 : x
  2. Step 2: Convert to fraction form
    100,133,496,768.30/140,393,286,689.70 = 100,133,496,768.30/x
  3. Step 3: Cross multiply
    100,133,496,768.30x = 140,393,286,689.70 × 100,133,496,768.30
  4. Step 4: Simplify right side
    100,133,496,768.30x = 14,058,070,719,034,092,945,408
  5. Step 5: Solve for x
    x = 14,058,070,719,034,092,945,408/100,133,496,768.30
  6. Step 6: Final answer
    x = 140,393,286,689.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.