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Finding the Fourth Proportional to 1,202,141,134,564.70, 1,803,211,701,847 and 1,202,141,134,564.70

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Solution

The fourth proportional to 1,202,141,134,564.70, 1,803,211,701,847 and 1,202,141,134,564.70 is: 1,803,211,701,847

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202,141,134,564.70 : 1,803,211,701,847 = 1,202,141,134,564.70 : x
  2. Step 2: Convert to fraction form
    1,202,141,134,564.70/1,803,211,701,847 = 1,202,141,134,564.70/x
  3. Step 3: Cross multiply
    1,202,141,134,564.70x = 1,803,211,701,847 × 1,202,141,134,564.70
  4. Step 4: Simplify right side
    1,202,141,134,564.70x = 2,167,714,961,118,696,145,158,144
  5. Step 5: Solve for x
    x = 2,167,714,961,118,696,145,158,144/1,202,141,134,564.70
  6. Step 6: Final answer
    x = 1,803,211,701,847

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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.