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Finding the Fourth Proportional to 86,921,874,000.30, 130,382,811,000.45 and 86,921,874,000.30

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Solution

The fourth proportional to 86,921,874,000.30, 130,382,811,000.45 and 86,921,874,000.30 is: 130,382,811,000.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,921,874,000.30 : 130,382,811,000.45 = 86,921,874,000.30 : x
  2. Step 2: Convert to fraction form
    86,921,874,000.30/130,382,811,000.45 = 86,921,874,000.30/x
  3. Step 3: Cross multiply
    86,921,874,000.30x = 130,382,811,000.45 × 86,921,874,000.30
  4. Step 4: Simplify right side
    86,921,874,000.30x = 11,333,118,269,586,044,616,704
  5. Step 5: Solve for x
    x = 11,333,118,269,586,044,616,704/86,921,874,000.30
  6. Step 6: Final answer
    x = 130,382,811,000.45

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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.