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Finding the Fourth Proportional to 542,462,012.74, 748,592,316.32 and 294,943,367

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Solution

The fourth proportional to 542,462,012.74, 748,592,316.32 and 294,943,367 is: 407,018,985.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,462,012.74 : 748,592,316.32 = 294,943,367 : x
  2. Step 2: Convert to fraction form
    542,462,012.74/748,592,316.32 = 294,943,367/x
  3. Step 3: Cross multiply
    542,462,012.74x = 748,592,316.32 × 294,943,367
  4. Step 4: Simplify right side
    542,462,012.74x = 220,792,338,285,749,856
  5. Step 5: Solve for x
    x = 220,792,338,285,749,856/542,462,012.74
  6. Step 6: Final answer
    x = 407,018,985.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.