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Finding the Fourth Proportional to 183,520,386,002.14, 275,280,579,003.20 and 183,520,386,002.14

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Solution

The fourth proportional to 183,520,386,002.14, 275,280,579,003.20 and 183,520,386,002.14 is: 275,280,579,003.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,520,386,002.14 : 275,280,579,003.20 = 183,520,386,002.14 : x
  2. Step 2: Convert to fraction form
    183,520,386,002.14/275,280,579,003.20 = 183,520,386,002.14/x
  3. Step 3: Cross multiply
    183,520,386,002.14x = 275,280,579,003.20 × 183,520,386,002.14
  4. Step 4: Simplify right side
    183,520,386,002.14x = 50,519,598,117,559,862,296,576
  5. Step 5: Solve for x
    x = 50,519,598,117,559,862,296,576/183,520,386,002.14
  6. Step 6: Final answer
    x = 275,280,579,003.20

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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.