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Finding the Fourth Proportional to 5,057,298,311.40, 7,585,947,467.10 and 5,057,298,311.40

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Solution

The fourth proportional to 5,057,298,311.40, 7,585,947,467.10 and 5,057,298,311.40 is: 7,585,947,467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057,298,311.40 : 7,585,947,467.10 = 5,057,298,311.40 : x
  2. Step 2: Convert to fraction form
    5,057,298,311.40/7,585,947,467.10 = 5,057,298,311.40/x
  3. Step 3: Cross multiply
    5,057,298,311.40x = 7,585,947,467.10 × 5,057,298,311.40
  4. Step 4: Simplify right side
    5,057,298,311.40x = 38,364,399,315,733,938,176
  5. Step 5: Solve for x
    x = 38,364,399,315,733,938,176/5,057,298,311.40
  6. Step 6: Final answer
    x = 7,585,947,467.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.