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Finding the Fourth Proportional to 1,093,866,562.48, 1,509,535,929.99 and 598,829,270.98

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Solution

The fourth proportional to 1,093,866,562.48, 1,509,535,929.99 and 598,829,270.98 is: 826,384,434.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093,866,562.48 : 1,509,535,929.99 = 598,829,270.98 : x
  2. Step 2: Convert to fraction form
    1,093,866,562.48/1,509,535,929.99 = 598,829,270.98/x
  3. Step 3: Cross multiply
    1,093,866,562.48x = 1,509,535,929.99 × 598,829,270.98
  4. Step 4: Simplify right side
    1,093,866,562.48x = 903,954,300,474,028,032
  5. Step 5: Solve for x
    x = 903,954,300,474,028,032/1,093,866,562.48
  6. Step 6: Final answer
    x = 826,384,434.34

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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.