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Finding the Fourth Proportional to 4,709,674,269.30, 7,049,205,903.15 and 4,709,674,269.30

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Solution

The fourth proportional to 4,709,674,269.30, 7,049,205,903.15 and 4,709,674,269.30 is: 7,049,205,903.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709,674,269.30 : 7,049,205,903.15 = 4,709,674,269.30 : x
  2. Step 2: Convert to fraction form
    4,709,674,269.30/7,049,205,903.15 = 4,709,674,269.30/x
  3. Step 3: Cross multiply
    4,709,674,269.30x = 7,049,205,903.15 × 4,709,674,269.30
  4. Step 4: Simplify right side
    4,709,674,269.30x = 33,199,463,661,063,221,248
  5. Step 5: Solve for x
    x = 33,199,463,661,063,221,248/4,709,674,269.30
  6. Step 6: Final answer
    x = 7,049,205,903.15

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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.