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Finding the Fourth Proportional to 14,364,648,464.70, 21,546,972,697.05 and 14,364,648,464.70

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Solution

The fourth proportional to 14,364,648,464.70, 21,546,972,697.05 and 14,364,648,464.70 is: 21,546,972,697.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,364,648,464.70 : 21,546,972,697.05 = 14,364,648,464.70 : x
  2. Step 2: Convert to fraction form
    14,364,648,464.70/21,546,972,697.05 = 14,364,648,464.70/x
  3. Step 3: Cross multiply
    14,364,648,464.70x = 21,546,972,697.05 × 14,364,648,464.70
  4. Step 4: Simplify right side
    14,364,648,464.70x = 309,514,688,271,612,116,992
  5. Step 5: Solve for x
    x = 309,514,688,271,612,116,992/14,364,648,464.70
  6. Step 6: Final answer
    x = 21,546,972,697.05

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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.