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Finding the Fourth Proportional to 612,912,582,001.57, 919,368,873,002.33 and 612,912,582,001.57

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Solution

The fourth proportional to 612,912,582,001.57, 919,368,873,002.33 and 612,912,582,001.57 is: 919,368,873,002.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,912,582,001.57 : 919,368,873,002.33 = 612,912,582,001.57 : x
  2. Step 2: Convert to fraction form
    612,912,582,001.57/919,368,873,002.33 = 612,912,582,001.57/x
  3. Step 3: Cross multiply
    612,912,582,001.57x = 919,368,873,002.33 × 612,912,582,001.57
  4. Step 4: Simplify right side
    612,912,582,001.57x = 563,492,749,763,731,506,855,936
  5. Step 5: Solve for x
    x = 563,492,749,763,731,506,855,936/612,912,582,001.57
  6. Step 6: Final answer
    x = 919,368,873,002.33

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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.