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Finding the Fourth Proportional to 310,043,378,899.80, 465,065,068,349.70 and 310,043,378,899.80

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Solution

The fourth proportional to 310,043,378,899.80, 465,065,068,349.70 and 310,043,378,899.80 is: 465,065,068,349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,043,378,899.80 : 465,065,068,349.70 = 310,043,378,899.80 : x
  2. Step 2: Convert to fraction form
    310,043,378,899.80/465,065,068,349.70 = 310,043,378,899.80/x
  3. Step 3: Cross multiply
    310,043,378,899.80x = 465,065,068,349.70 × 310,043,378,899.80
  4. Step 4: Simplify right side
    310,043,378,899.80x = 144,190,345,199,407,417,262,080
  5. Step 5: Solve for x
    x = 144,190,345,199,407,417,262,080/310,043,378,899.80
  6. Step 6: Final answer
    x = 465,065,068,349.70

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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.