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Finding the Fourth Proportional to 1,645,739,919,026.30, 2,468,609,878,539.50 and 1,645,739,919,026.30

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Solution

The fourth proportional to 1,645,739,919,026.30, 2,468,609,878,539.50 and 1,645,739,919,026.30 is: 2,468,609,878,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645,739,919,026.30 : 2,468,609,878,539.50 = 1,645,739,919,026.30 : x
  2. Step 2: Convert to fraction form
    1,645,739,919,026.30/2,468,609,878,539.50 = 1,645,739,919,026.30/x
  3. Step 3: Cross multiply
    1,645,739,919,026.30x = 2,468,609,878,539.50 × 1,645,739,919,026.30
  4. Step 4: Simplify right side
    1,645,739,919,026.30x = 4,062,689,821,615,120,862,674,944
  5. Step 5: Solve for x
    x = 4,062,689,821,615,120,862,674,944/1,645,739,919,026.30
  6. Step 6: Final answer
    x = 2,468,609,878,539.50

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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.