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Finding the Fourth Proportional to 1,094,459,485.08, 1,643,327,394.44 and 947,363,259.30

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Solution

The fourth proportional to 1,094,459,485.08, 1,643,327,394.44 and 947,363,259.30 is: 1,422,462,884.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094,459,485.08 : 1,643,327,394.44 = 947,363,259.30 : x
  2. Step 2: Convert to fraction form
    1,094,459,485.08/1,643,327,394.44 = 947,363,259.30/x
  3. Step 3: Cross multiply
    1,094,459,485.08x = 1,643,327,394.44 × 947,363,259.30
  4. Step 4: Simplify right side
    1,094,459,485.08x = 1,556,827,996,493,655,040
  5. Step 5: Solve for x
    x = 1,556,827,996,493,655,040/1,094,459,485.08
  6. Step 6: Final answer
    x = 1,422,462,884.85

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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.