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Finding the Fourth Proportional to 531,473,114.40, 797,209,671.60 and 508,514,863.20

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Solution

The fourth proportional to 531,473,114.40, 797,209,671.60 and 508,514,863.20 is: 762,772,294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,473,114.40 : 797,209,671.60 = 508,514,863.20 : x
  2. Step 2: Convert to fraction form
    531,473,114.40/797,209,671.60 = 508,514,863.20/x
  3. Step 3: Cross multiply
    531,473,114.40x = 797,209,671.60 × 508,514,863.20
  4. Step 4: Simplify right side
    531,473,114.40x = 405,392,967,095,390,912
  5. Step 5: Solve for x
    x = 405,392,967,095,390,912/531,473,114.40
  6. Step 6: Final answer
    x = 762,772,294.80

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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.