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Finding the Fourth Proportional to 224,640,465.40, 315,403,644.20 and 224,640,465.40

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Solution

The fourth proportional to 224,640,465.40, 315,403,644.20 and 224,640,465.40 is: 315,403,644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,640,465.40 : 315,403,644.20 = 224,640,465.40 : x
  2. Step 2: Convert to fraction form
    224,640,465.40/315,403,644.20 = 224,640,465.40/x
  3. Step 3: Cross multiply
    224,640,465.40x = 315,403,644.20 × 224,640,465.40
  4. Step 4: Simplify right side
    224,640,465.40x = 70,852,421,421,944,008
  5. Step 5: Solve for x
    x = 70,852,421,421,944,008/224,640,465.40
  6. Step 6: Final answer
    x = 315,403,644.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.