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Finding the Fourth Proportional to 640,224,110.40, 898,732,401.60 and 640,224,110.40

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Solution

The fourth proportional to 640,224,110.40, 898,732,401.60 and 640,224,110.40 is: 898,732,401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,224,110.40 : 898,732,401.60 = 640,224,110.40 : x
  2. Step 2: Convert to fraction form
    640,224,110.40/898,732,401.60 = 640,224,110.40/x
  3. Step 3: Cross multiply
    640,224,110.40x = 898,732,401.60 × 640,224,110.40
  4. Step 4: Simplify right side
    640,224,110.40x = 575,390,152,302,015,552
  5. Step 5: Solve for x
    x = 575,390,152,302,015,552/640,224,110.40
  6. Step 6: Final answer
    x = 898,732,401.60

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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.