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Finding the Fourth Proportional to 1,594,051,812,910, 2,391,077,719,364.90 and 1,594,051,812,910

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Solution

The fourth proportional to 1,594,051,812,910, 2,391,077,719,364.90 and 1,594,051,812,910 is: 2,391,077,719,364.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594,051,812,910 : 2,391,077,719,364.90 = 1,594,051,812,910 : x
  2. Step 2: Convert to fraction form
    1,594,051,812,910/2,391,077,719,364.90 = 1,594,051,812,910/x
  3. Step 3: Cross multiply
    1,594,051,812,910x = 2,391,077,719,364.90 × 1,594,051,812,910
  4. Step 4: Simplify right side
    1,594,051,812,910x = 3,811,501,773,362,327,032,168,448
  5. Step 5: Solve for x
    x = 3,811,501,773,362,327,032,168,448/1,594,051,812,910
  6. Step 6: Final answer
    x = 2,391,077,719,364.90

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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.