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Finding the Fourth Proportional to 667,958,238,096.07, 1,001,937,357,144.10 and 667,958,238,096.07

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Solution

The fourth proportional to 667,958,238,096.07, 1,001,937,357,144.10 and 667,958,238,096.07 is: 1,001,937,357,144.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,958,238,096.07 : 1,001,937,357,144.10 = 667,958,238,096.07 : x
  2. Step 2: Convert to fraction form
    667,958,238,096.07/1,001,937,357,144.10 = 667,958,238,096.07/x
  3. Step 3: Cross multiply
    667,958,238,096.07x = 1,001,937,357,144.10 × 667,958,238,096.07
  4. Step 4: Simplify right side
    667,958,238,096.07x = 669,252,311,760,605,762,551,808
  5. Step 5: Solve for x
    x = 669,252,311,760,605,762,551,808/667,958,238,096.07
  6. Step 6: Final answer
    x = 1,001,937,357,144.10

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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.