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Finding the Fourth Proportional to 490,450,842,074.02, 735,676,263,111.03 and 490,450,842,074.02

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Solution

The fourth proportional to 490,450,842,074.02, 735,676,263,111.03 and 490,450,842,074.02 is: 735,676,263,111.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,450,842,074.02 : 735,676,263,111.03 = 490,450,842,074.02 : x
  2. Step 2: Convert to fraction form
    490,450,842,074.02/735,676,263,111.03 = 490,450,842,074.02/x
  3. Step 3: Cross multiply
    490,450,842,074.02x = 735,676,263,111.03 × 490,450,842,074.02
  4. Step 4: Simplify right side
    490,450,842,074.02x = 360,813,042,736,672,955,957,248
  5. Step 5: Solve for x
    x = 360,813,042,736,672,955,957,248/490,450,842,074.02
  6. Step 6: Final answer
    x = 735,676,263,111.03

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1.5x scale

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.