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Finding the Fourth Proportional to 856,302,002.40, 1,201,241,450.40 and 856,302,002.40

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Solution

The fourth proportional to 856,302,002.40, 1,201,241,450.40 and 856,302,002.40 is: 1,201,241,450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,302,002.40 : 1,201,241,450.40 = 856,302,002.40 : x
  2. Step 2: Convert to fraction form
    856,302,002.40/1,201,241,450.40 = 856,302,002.40/x
  3. Step 3: Cross multiply
    856,302,002.40x = 1,201,241,450.40 × 856,302,002.40
  4. Step 4: Simplify right side
    856,302,002.40x = 1,028,625,459,343,400,320
  5. Step 5: Solve for x
    x = 1,028,625,459,343,400,320/856,302,002.40
  6. Step 6: Final answer
    x = 1,201,241,450.40

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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.