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Finding the Fourth Proportional to 667,958,238,078.45, 1,001,937,357,117.70 and 667,958,238,078.45

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Solution

The fourth proportional to 667,958,238,078.45, 1,001,937,357,117.70 and 667,958,238,078.45 is: 1,001,937,357,117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,958,238,078.45 : 1,001,937,357,117.70 = 667,958,238,078.45 : x
  2. Step 2: Convert to fraction form
    667,958,238,078.45/1,001,937,357,117.70 = 667,958,238,078.45/x
  3. Step 3: Cross multiply
    667,958,238,078.45x = 1,001,937,357,117.70 × 667,958,238,078.45
  4. Step 4: Simplify right side
    667,958,238,078.45x = 669,252,311,725,317,505,941,504
  5. Step 5: Solve for x
    x = 669,252,311,725,317,505,941,504/667,958,238,078.45
  6. Step 6: Final answer
    x = 1,001,937,357,117.70

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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.