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Finding the Fourth Proportional to 6,376,207,302,024, 9,564,310,953,036.10 and 6,376,207,302,024

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Solution

The fourth proportional to 6,376,207,302,024, 9,564,310,953,036.10 and 6,376,207,302,024 is: 9,564,310,953,036.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376,207,302,024 : 9,564,310,953,036.10 = 6,376,207,302,024 : x
  2. Step 2: Convert to fraction form
    6,376,207,302,024/9,564,310,953,036.10 = 6,376,207,302,024/x
  3. Step 3: Cross multiply
    6,376,207,302,024x = 9,564,310,953,036.10 × 6,376,207,302,024
  4. Step 4: Simplify right side
    6,376,207,302,024x = 60,984,029,337,576,898,620,817,408
  5. Step 5: Solve for x
    x = 60,984,029,337,576,898,620,817,408/6,376,207,302,024
  6. Step 6: Final answer
    x = 9,564,310,953,036.10

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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.