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Finding the Fourth Proportional to 1,692,753,274.40, 2,335,719,235.42 and 978,355,352.50

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Solution

The fourth proportional to 1,692,753,274.40, 2,335,719,235.42 and 978,355,352.50 is: 1,349,968,392.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692,753,274.40 : 2,335,719,235.42 = 978,355,352.50 : x
  2. Step 2: Convert to fraction form
    1,692,753,274.40/2,335,719,235.42 = 978,355,352.50/x
  3. Step 3: Cross multiply
    1,692,753,274.40x = 2,335,719,235.42 × 978,355,352.50
  4. Step 4: Simplify right side
    1,692,753,274.40x = 2,285,163,415,910,364,672
  5. Step 5: Solve for x
    x = 2,285,163,415,910,364,672/1,692,753,274.40
  6. Step 6: Final answer
    x = 1,349,968,392.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.