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Finding the Fourth Proportional to 664,848,037.30, 932,317,802.30 and 664,848,037.30

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Solution

The fourth proportional to 664,848,037.30, 932,317,802.30 and 664,848,037.30 is: 932,317,802.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,848,037.30 : 932,317,802.30 = 664,848,037.30 : x
  2. Step 2: Convert to fraction form
    664,848,037.30/932,317,802.30 = 664,848,037.30/x
  3. Step 3: Cross multiply
    664,848,037.30x = 932,317,802.30 × 664,848,037.30
  4. Step 4: Simplify right side
    664,848,037.30x = 619,849,660,999,004,288
  5. Step 5: Solve for x
    x = 619,849,660,999,004,288/664,848,037.30
  6. Step 6: Final answer
    x = 932,317,802.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.