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Finding the Fourth Proportional to 1,365,476,641.80, 1,884,363,510.60 and 738,945,100.32

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Solution

The fourth proportional to 1,365,476,641.80, 1,884,363,510.60 and 738,945,100.32 is: 1,019,747,347.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365,476,641.80 : 1,884,363,510.60 = 738,945,100.32 : x
  2. Step 2: Convert to fraction form
    1,365,476,641.80/1,884,363,510.60 = 738,945,100.32/x
  3. Step 3: Cross multiply
    1,365,476,641.80x = 1,884,363,510.60 × 738,945,100.32
  4. Step 4: Simplify right side
    1,365,476,641.80x = 1,392,441,183,379,664,384
  5. Step 5: Solve for x
    x = 1,392,441,183,379,664,384/1,365,476,641.80
  6. Step 6: Final answer
    x = 1,019,747,347.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.