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Finding the Fourth Proportional to 907,284,838.20, 1,360,927,257.30 and 907,284,838.20

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Solution

The fourth proportional to 907,284,838.20, 1,360,927,257.30 and 907,284,838.20 is: 1,360,927,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,284,838.20 : 1,360,927,257.30 = 907,284,838.20 : x
  2. Step 2: Convert to fraction form
    907,284,838.20/1,360,927,257.30 = 907,284,838.20/x
  3. Step 3: Cross multiply
    907,284,838.20x = 1,360,927,257.30 × 907,284,838.20
  4. Step 4: Simplify right side
    907,284,838.20x = 1,234,748,666,441,400,320
  5. Step 5: Solve for x
    x = 1,234,748,666,441,400,320/907,284,838.20
  6. Step 6: Final answer
    x = 1,360,927,257.30

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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.