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Finding the Fourth Proportional to 154,087,272,002.01, 231,130,908,003.02 and 154,087,272,002.01

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Solution

The fourth proportional to 154,087,272,002.01, 231,130,908,003.02 and 154,087,272,002.01 is: 231,130,908,003.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,087,272,002.01 : 231,130,908,003.02 = 154,087,272,002.01 : x
  2. Step 2: Convert to fraction form
    154,087,272,002.01/231,130,908,003.02 = 154,087,272,002.01/x
  3. Step 3: Cross multiply
    154,087,272,002.01x = 231,130,908,003.02 × 154,087,272,002.01
  4. Step 4: Simplify right side
    154,087,272,002.01x = 35,614,331,089,532,894,576,640
  5. Step 5: Solve for x
    x = 35,614,331,089,532,894,576,640/154,087,272,002.01
  6. Step 6: Final answer
    x = 231,130,908,003.02

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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.