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Finding the Fourth Proportional to 120,985,814,744.70, 181,478,722,117.05 and 120,985,814,744.70

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Solution

The fourth proportional to 120,985,814,744.70, 181,478,722,117.05 and 120,985,814,744.70 is: 181,478,722,117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,985,814,744.70 : 181,478,722,117.05 = 120,985,814,744.70 : x
  2. Step 2: Convert to fraction form
    120,985,814,744.70/181,478,722,117.05 = 120,985,814,744.70/x
  3. Step 3: Cross multiply
    120,985,814,744.70x = 181,478,722,117.05 × 120,985,814,744.70
  4. Step 4: Simplify right side
    120,985,814,744.70x = 21,956,351,054,158,300,708,864
  5. Step 5: Solve for x
    x = 21,956,351,054,158,300,708,864/120,985,814,744.70
  6. Step 6: Final answer
    x = 181,478,722,117.05

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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.