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Finding the Fourth Proportional to 1,113,264,823.80, 1,669,897,235.70 and 1,113,264,823.80

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Solution

The fourth proportional to 1,113,264,823.80, 1,669,897,235.70 and 1,113,264,823.80 is: 1,669,897,235.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113,264,823.80 : 1,669,897,235.70 = 1,113,264,823.80 : x
  2. Step 2: Convert to fraction form
    1,113,264,823.80/1,669,897,235.70 = 1,113,264,823.80/x
  3. Step 3: Cross multiply
    1,113,264,823.80x = 1,669,897,235.70 × 1,113,264,823.80
  4. Step 4: Simplify right side
    1,113,264,823.80x = 1,859,037,851,865,667,584
  5. Step 5: Solve for x
    x = 1,859,037,851,865,667,584/1,113,264,823.80
  6. Step 6: Final answer
    x = 1,669,897,235.70

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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.