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Finding the Fourth Proportional to 541,308,672.64, 747,006,705.60 and 293,790,030.08

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Solution

The fourth proportional to 541,308,672.64, 747,006,705.60 and 293,790,030.08 is: 405,430,641.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,308,672.64 : 747,006,705.60 = 293,790,030.08 : x
  2. Step 2: Convert to fraction form
    541,308,672.64/747,006,705.60 = 293,790,030.08/x
  3. Step 3: Cross multiply
    541,308,672.64x = 747,006,705.60 × 293,790,030.08
  4. Step 4: Simplify right side
    541,308,672.64x = 219,463,122,508,185,696
  5. Step 5: Solve for x
    x = 219,463,122,508,185,696/541,308,672.64
  6. Step 6: Final answer
    x = 405,430,641.70

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Why These Related Problems?

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