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Finding the Fourth Proportional to 2,014,771,077,010.90, 3,022,156,615,517 and 2,014,771,077,010.90

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Solution

The fourth proportional to 2,014,771,077,010.90, 3,022,156,615,517 and 2,014,771,077,010.90 is: 3,022,156,615,517

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014,771,077,010.90 : 3,022,156,615,517 = 2,014,771,077,010.90 : x
  2. Step 2: Convert to fraction form
    2,014,771,077,010.90/3,022,156,615,517 = 2,014,771,077,010.90/x
  3. Step 3: Cross multiply
    2,014,771,077,010.90x = 3,022,156,615,517 × 2,014,771,077,010.90
  4. Step 4: Simplify right side
    2,014,771,077,010.90x = 6,088,953,739,140,802,562,490,368
  5. Step 5: Solve for x
    x = 6,088,953,739,140,802,562,490,368/2,014,771,077,010.90
  6. Step 6: Final answer
    x = 3,022,156,615,517

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.