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Finding the Fourth Proportional to 30,320,352,048.70, 45,480,528,073.05 and 30,320,352,048.70

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Solution

The fourth proportional to 30,320,352,048.70, 45,480,528,073.05 and 30,320,352,048.70 is: 45,480,528,073.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,320,352,048.70 : 45,480,528,073.05 = 30,320,352,048.70 : x
  2. Step 2: Convert to fraction form
    30,320,352,048.70/45,480,528,073.05 = 30,320,352,048.70/x
  3. Step 3: Cross multiply
    30,320,352,048.70x = 45,480,528,073.05 × 30,320,352,048.70
  4. Step 4: Simplify right side
    30,320,352,048.70x = 1,378,985,622,535,659,585,536
  5. Step 5: Solve for x
    x = 1,378,985,622,535,659,585,536/30,320,352,048.70
  6. Step 6: Final answer
    x = 45,480,528,073.05

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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.