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Finding the Fourth Proportional to 46,669,643.60, 70,004,465.40 and 42,414,616.40

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Solution

The fourth proportional to 46,669,643.60, 70,004,465.40 and 42,414,616.40 is: 63,621,924.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,669,643.60 : 70,004,465.40 = 42,414,616.40 : x
  2. Step 2: Convert to fraction form
    46,669,643.60/70,004,465.40 = 42,414,616.40/x
  3. Step 3: Cross multiply
    46,669,643.60x = 70,004,465.40 × 42,414,616.40
  4. Step 4: Simplify right side
    46,669,643.60x = 2,969,212,546,228,072.50
  5. Step 5: Solve for x
    x = 2,969,212,546,228,072.50/46,669,643.60
  6. Step 6: Final answer
    x = 63,621,924.60

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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.