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Finding the Fourth Proportional to 299,559,742.40, 419,949,870.40 and 299,559,742.40

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Solution

The fourth proportional to 299,559,742.40, 419,949,870.40 and 299,559,742.40 is: 419,949,870.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,559,742.40 : 419,949,870.40 = 299,559,742.40 : x
  2. Step 2: Convert to fraction form
    299,559,742.40/419,949,870.40 = 299,559,742.40/x
  3. Step 3: Cross multiply
    299,559,742.40x = 419,949,870.40 × 299,559,742.40
  4. Step 4: Simplify right side
    299,559,742.40x = 125,800,074,997,937,360
  5. Step 5: Solve for x
    x = 125,800,074,997,937,360/299,559,742.40
  6. Step 6: Final answer
    x = 419,949,870.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.