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Finding the Fourth Proportional to 224,640,434.40, 315,403,600.80 and 224,640,434.40

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Solution

The fourth proportional to 224,640,434.40, 315,403,600.80 and 224,640,434.40 is: 315,403,600.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,640,434.40 : 315,403,600.80 = 224,640,434.40 : x
  2. Step 2: Convert to fraction form
    224,640,434.40/315,403,600.80 = 224,640,434.40/x
  3. Step 3: Cross multiply
    224,640,434.40x = 315,403,600.80 × 224,640,434.40
  4. Step 4: Simplify right side
    224,640,434.40x = 70,852,401,895,036,192
  5. Step 5: Solve for x
    x = 70,852,401,895,036,192/224,640,434.40
  6. Step 6: Final answer
    x = 315,403,600.80

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1.5x scale

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.