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Finding the Fourth Proportional to 52,315,691,207.40, 78,473,536,811.10 and 52,315,691,207.40

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Solution

The fourth proportional to 52,315,691,207.40, 78,473,536,811.10 and 52,315,691,207.40 is: 78,473,536,811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,315,691,207.40 : 78,473,536,811.10 = 52,315,691,207.40 : x
  2. Step 2: Convert to fraction form
    52,315,691,207.40/78,473,536,811.10 = 52,315,691,207.40/x
  3. Step 3: Cross multiply
    52,315,691,207.40x = 78,473,536,811.10 × 52,315,691,207.40
  4. Step 4: Simplify right side
    52,315,691,207.40x = 4,105,397,319,762,044,780,544
  5. Step 5: Solve for x
    x = 4,105,397,319,762,044,780,544/52,315,691,207.40
  6. Step 6: Final answer
    x = 78,473,536,811.10

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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.