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Finding the Fourth Proportional to 897,732,907.40, 1,253,764,970.20 and 897,732,907.40

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Solution

The fourth proportional to 897,732,907.40, 1,253,764,970.20 and 897,732,907.40 is: 1,253,764,970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,732,907.40 : 1,253,764,970.20 = 897,732,907.40 : x
  2. Step 2: Convert to fraction form
    897,732,907.40/1,253,764,970.20 = 897,732,907.40/x
  3. Step 3: Cross multiply
    897,732,907.40x = 1,253,764,970.20 × 897,732,907.40
  4. Step 4: Simplify right side
    897,732,907.40x = 1,125,546,071,893,920,384
  5. Step 5: Solve for x
    x = 1,125,546,071,893,920,384/897,732,907.40
  6. Step 6: Final answer
    x = 1,253,764,970.20

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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.