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Finding the Fourth Proportional to 537,299,993.60, 804,606,297.60 and 429,804,569.60

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Solution

The fourth proportional to 537,299,993.60, 804,606,297.60 and 429,804,569.60 is: 643,631,988.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,299,993.60 : 804,606,297.60 = 429,804,569.60 : x
  2. Step 2: Convert to fraction form
    537,299,993.60/804,606,297.60 = 429,804,569.60/x
  3. Step 3: Cross multiply
    537,299,993.60x = 804,606,297.60 × 429,804,569.60
  4. Step 4: Simplify right side
    537,299,993.60x = 345,823,463,437,417,536
  5. Step 5: Solve for x
    x = 345,823,463,437,417,536/537,299,993.60
  6. Step 6: Final answer
    x = 643,631,988.75

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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.