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Finding the Fourth Proportional to 640,973,706.40, 899,403,922.40 and 640,973,706.40

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Solution

The fourth proportional to 640,973,706.40, 899,403,922.40 and 640,973,706.40 is: 899,403,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,973,706.40 : 899,403,922.40 = 640,973,706.40 : x
  2. Step 2: Convert to fraction form
    640,973,706.40/899,403,922.40 = 640,973,706.40/x
  3. Step 3: Cross multiply
    640,973,706.40x = 899,403,922.40 × 640,973,706.40
  4. Step 4: Simplify right side
    640,973,706.40x = 576,494,265,691,425,920
  5. Step 5: Solve for x
    x = 576,494,265,691,425,920/640,973,706.40
  6. Step 6: Final answer
    x = 899,403,922.40

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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.