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Finding the Fourth Proportional to 35,255,088,064.20, 52,882,632,096.30 and 35,255,088,064.20

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Solution

The fourth proportional to 35,255,088,064.20, 52,882,632,096.30 and 35,255,088,064.20 is: 52,882,632,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,255,088,064.20 : 52,882,632,096.30 = 35,255,088,064.20 : x
  2. Step 2: Convert to fraction form
    35,255,088,064.20/52,882,632,096.30 = 35,255,088,064.20/x
  3. Step 3: Cross multiply
    35,255,088,064.20x = 52,882,632,096.30 × 35,255,088,064.20
  4. Step 4: Simplify right side
    35,255,088,064.20x = 1,864,381,851,621,746,016,256
  5. Step 5: Solve for x
    x = 1,864,381,851,621,746,016,256/35,255,088,064.20
  6. Step 6: Final answer
    x = 52,882,632,096.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.