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Finding the Fourth Proportional to 1,062,701,208,051.40, 1,594,051,812,077 and 1,062,701,208,051.40

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Solution

The fourth proportional to 1,062,701,208,051.40, 1,594,051,812,077 and 1,062,701,208,051.40 is: 1,594,051,812,077

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062,701,208,051.40 : 1,594,051,812,077 = 1,062,701,208,051.40 : x
  2. Step 2: Convert to fraction form
    1,062,701,208,051.40/1,594,051,812,077 = 1,062,701,208,051.40/x
  3. Step 3: Cross multiply
    1,062,701,208,051.40x = 1,594,051,812,077 × 1,062,701,208,051.40
  4. Step 4: Simplify right side
    1,062,701,208,051.40x = 1,694,000,786,390,751,289,278,464
  5. Step 5: Solve for x
    x = 1,694,000,786,390,751,289,278,464/1,062,701,208,051.40
  6. Step 6: Final answer
    x = 1,594,051,812,077

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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.