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Finding the Fourth Proportional to 749,882,006.90, 1,047,252,006.40 and 749,882,006.90

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Solution

The fourth proportional to 749,882,006.90, 1,047,252,006.40 and 749,882,006.90 is: 1,047,252,006.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,882,006.90 : 1,047,252,006.40 = 749,882,006.90 : x
  2. Step 2: Convert to fraction form
    749,882,006.90/1,047,252,006.40 = 749,882,006.90/x
  3. Step 3: Cross multiply
    749,882,006.90x = 1,047,252,006.40 × 749,882,006.90
  4. Step 4: Simplify right side
    749,882,006.90x = 785,315,436,289,283,584
  5. Step 5: Solve for x
    x = 785,315,436,289,283,584/749,882,006.90
  6. Step 6: Final answer
    x = 1,047,252,006.40

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1.5x scale

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.