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Finding the Fourth Proportional to 2,014,771,077,010.30, 3,022,156,615,516 and 2,014,771,077,010.30

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Solution

The fourth proportional to 2,014,771,077,010.30, 3,022,156,615,516 and 2,014,771,077,010.30 is: 3,022,156,615,516

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014,771,077,010.30 : 3,022,156,615,516 = 2,014,771,077,010.30 : x
  2. Step 2: Convert to fraction form
    2,014,771,077,010.30/3,022,156,615,516 = 2,014,771,077,010.30/x
  3. Step 3: Cross multiply
    2,014,771,077,010.30x = 3,022,156,615,516 × 2,014,771,077,010.30
  4. Step 4: Simplify right side
    2,014,771,077,010.30x = 6,088,953,739,136,974,672,887,808
  5. Step 5: Solve for x
    x = 6,088,953,739,136,974,672,887,808/2,014,771,077,010.30
  6. Step 6: Final answer
    x = 3,022,156,615,516

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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.