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Finding the Fourth Proportional to 667,782,455,643.70, 1,001,673,683,465.60 and 667,782,455,643.70

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Solution

The fourth proportional to 667,782,455,643.70, 1,001,673,683,465.60 and 667,782,455,643.70 is: 1,001,673,683,465.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,782,455,643.70 : 1,001,673,683,465.60 = 667,782,455,643.70 : x
  2. Step 2: Convert to fraction form
    667,782,455,643.70/1,001,673,683,465.60 = 667,782,455,643.70/x
  3. Step 3: Cross multiply
    667,782,455,643.70x = 1,001,673,683,465.60 × 667,782,455,643.70
  4. Step 4: Simplify right side
    667,782,455,643.70x = 668,900,112,098,328,513,085,440
  5. Step 5: Solve for x
    x = 668,900,112,098,328,513,085,440/667,782,455,643.70
  6. Step 6: Final answer
    x = 1,001,673,683,465.60

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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.