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Finding the Fourth Proportional to 1,648,288,010.40, 2,311,000,600.80 and 1,648,288,010.40

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Solution

The fourth proportional to 1,648,288,010.40, 2,311,000,600.80 and 1,648,288,010.40 is: 2,311,000,600.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,288,010.40 : 2,311,000,600.80 = 1,648,288,010.40 : x
  2. Step 2: Convert to fraction form
    1,648,288,010.40/2,311,000,600.80 = 1,648,288,010.40/x
  3. Step 3: Cross multiply
    1,648,288,010.40x = 2,311,000,600.80 × 1,648,288,010.40
  4. Step 4: Simplify right side
    1,648,288,010.40x = 3,809,194,582,325,837,312
  5. Step 5: Solve for x
    x = 3,809,194,582,325,837,312/1,648,288,010.40
  6. Step 6: Final answer
    x = 2,311,000,600.80

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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.