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Finding the Fourth Proportional to 664,805,328.24, 1,001,745,774.64 and 546,291,623.28

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Solution

The fourth proportional to 664,805,328.24, 1,001,745,774.64 and 546,291,623.28 is: 823,166,274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,805,328.24 : 1,001,745,774.64 = 546,291,623.28 : x
  2. Step 2: Convert to fraction form
    664,805,328.24/1,001,745,774.64 = 546,291,623.28/x
  3. Step 3: Cross multiply
    664,805,328.24x = 1,001,745,774.64 × 546,291,623.28
  4. Step 4: Simplify right side
    664,805,328.24x = 547,245,325,341,966,592
  5. Step 5: Solve for x
    x = 547,245,325,341,966,592/664,805,328.24
  6. Step 6: Final answer
    x = 823,166,274.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.