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Finding the Fourth Proportional to 918,736,029,501.06, 1,378,104,044,251.60 and 918,736,029,501.06

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Solution

The fourth proportional to 918,736,029,501.06, 1,378,104,044,251.60 and 918,736,029,501.06 is: 1,378,104,044,251.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,736,029,501.06 : 1,378,104,044,251.60 = 918,736,029,501.06 : x
  2. Step 2: Convert to fraction form
    918,736,029,501.06/1,378,104,044,251.60 = 918,736,029,501.06/x
  3. Step 3: Cross multiply
    918,736,029,501.06x = 1,378,104,044,251.60 × 918,736,029,501.06
  4. Step 4: Simplify right side
    918,736,029,501.06x = 1,266,113,837,855,068,339,044,352
  5. Step 5: Solve for x
    x = 1,266,113,837,855,068,339,044,352/918,736,029,501.06
  6. Step 6: Final answer
    x = 1,378,104,044,251.60

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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.