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Finding the Fourth Proportional to 970,483,206.20, 1,455,724,809.30 and 970,483,206.20

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Solution

The fourth proportional to 970,483,206.20, 1,455,724,809.30 and 970,483,206.20 is: 1,455,724,809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,483,206.20 : 1,455,724,809.30 = 970,483,206.20 : x
  2. Step 2: Convert to fraction form
    970,483,206.20/1,455,724,809.30 = 970,483,206.20/x
  3. Step 3: Cross multiply
    970,483,206.20x = 1,455,724,809.30 × 970,483,206.20
  4. Step 4: Simplify right side
    970,483,206.20x = 1,412,756,480,274,347,520
  5. Step 5: Solve for x
    x = 1,412,756,480,274,347,520/970,483,206.20
  6. Step 6: Final answer
    x = 1,455,724,809.30

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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.