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Finding the Fourth Proportional to 5,057,299,220.40, 7,585,948,830.60 and 5,057,299,220.40

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Solution

The fourth proportional to 5,057,299,220.40, 7,585,948,830.60 and 5,057,299,220.40 is: 7,585,948,830.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057,299,220.40 : 7,585,948,830.60 = 5,057,299,220.40 : x
  2. Step 2: Convert to fraction form
    5,057,299,220.40/7,585,948,830.60 = 5,057,299,220.40/x
  3. Step 3: Cross multiply
    5,057,299,220.40x = 7,585,948,830.60 × 5,057,299,220.40
  4. Step 4: Simplify right side
    5,057,299,220.40x = 38,364,413,106,987,671,552
  5. Step 5: Solve for x
    x = 38,364,413,106,987,671,552/5,057,299,220.40
  6. Step 6: Final answer
    x = 7,585,948,830.60

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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.