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Finding the Fourth Proportional to 652,437,657.40, 978,656,486.10 and 221,616,153.40

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Solution

The fourth proportional to 652,437,657.40, 978,656,486.10 and 221,616,153.40 is: 332,424,230.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,437,657.40 : 978,656,486.10 = 221,616,153.40 : x
  2. Step 2: Convert to fraction form
    652,437,657.40/978,656,486.10 = 221,616,153.40/x
  3. Step 3: Cross multiply
    652,437,657.40x = 978,656,486.10 × 221,616,153.40
  4. Step 4: Simplify right side
    652,437,657.40x = 216,886,085,949,442,592
  5. Step 5: Solve for x
    x = 216,886,085,949,442,592/652,437,657.40
  6. Step 6: Final answer
    x = 332,424,230.10

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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.