Home / 313,344,133.40-470,016,200.10-301,400,197.40

Finding the Fourth Proportional to 313,344,133.40, 470,016,200.10 and 301,400,197.40

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Solution

The fourth proportional to 313,344,133.40, 470,016,200.10 and 301,400,197.40 is: 452,100,296.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,344,133.40 : 470,016,200.10 = 301,400,197.40 : x
  2. Step 2: Convert to fraction form
    313,344,133.40/470,016,200.10 = 301,400,197.40/x
  3. Step 3: Cross multiply
    313,344,133.40x = 470,016,200.10 × 301,400,197.40
  4. Step 4: Simplify right side
    313,344,133.40x = 141,662,975,491,337,888
  5. Step 5: Solve for x
    x = 141,662,975,491,337,888/313,344,133.40
  6. Step 6: Final answer
    x = 452,100,296.10

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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.