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Finding the Fourth Proportional to 556,114,296.80, 834,171,445.20 and 427,371,730.40

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Solution

The fourth proportional to 556,114,296.80, 834,171,445.20 and 427,371,730.40 is: 641,057,595.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,114,296.80 : 834,171,445.20 = 427,371,730.40 : x
  2. Step 2: Convert to fraction form
    556,114,296.80/834,171,445.20 = 427,371,730.40/x
  3. Step 3: Cross multiply
    556,114,296.80x = 834,171,445.20 × 427,371,730.40
  4. Step 4: Simplify right side
    556,114,296.80x = 356,501,293,985,392,768
  5. Step 5: Solve for x
    x = 356,501,293,985,392,768/556,114,296.80
  6. Step 6: Final answer
    x = 641,057,595.60

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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.