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Finding the Fourth Proportional to 556,114,295.80, 834,171,443.70 and 427,371,729.40

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Solution

The fourth proportional to 556,114,295.80, 834,171,443.70 and 427,371,729.40 is: 641,057,594.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,114,295.80 : 834,171,443.70 = 427,371,729.40 : x
  2. Step 2: Convert to fraction form
    556,114,295.80/834,171,443.70 = 427,371,729.40/x
  3. Step 3: Cross multiply
    556,114,295.80x = 834,171,443.70 × 427,371,729.40
  4. Step 4: Simplify right side
    556,114,295.80x = 356,501,292,510,163,712
  5. Step 5: Solve for x
    x = 356,501,292,510,163,712/556,114,295.80
  6. Step 6: Final answer
    x = 641,057,594.10

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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.