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Finding the Fourth Proportional to 1,594,051,812,538, 2,391,077,718,807.10 and 1,594,051,812,538

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Solution

The fourth proportional to 1,594,051,812,538, 2,391,077,718,807.10 and 1,594,051,812,538 is: 2,391,077,718,807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594,051,812,538 : 2,391,077,718,807.10 = 1,594,051,812,538 : x
  2. Step 2: Convert to fraction form
    1,594,051,812,538/2,391,077,718,807.10 = 1,594,051,812,538/x
  3. Step 3: Cross multiply
    1,594,051,812,538x = 2,391,077,718,807.10 × 1,594,051,812,538
  4. Step 4: Simplify right side
    1,594,051,812,538x = 3,811,501,771,583,684,438,130,688
  5. Step 5: Solve for x
    x = 3,811,501,771,583,684,438,130,688/1,594,051,812,538
  6. Step 6: Final answer
    x = 2,391,077,718,807.10

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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.