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Finding the Fourth Proportional to 10,106,491,006.70, 15,159,736,510.05 and 10,106,491,006.70

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Solution

The fourth proportional to 10,106,491,006.70, 15,159,736,510.05 and 10,106,491,006.70 is: 15,159,736,510.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106,491,006.70 : 15,159,736,510.05 = 10,106,491,006.70 : x
  2. Step 2: Convert to fraction form
    10,106,491,006.70/15,159,736,510.05 = 10,106,491,006.70/x
  3. Step 3: Cross multiply
    10,106,491,006.70x = 15,159,736,510.05 × 10,106,491,006.70
  4. Step 4: Simplify right side
    10,106,491,006.70x = 153,211,740,702,761,975,808
  5. Step 5: Solve for x
    x = 153,211,740,702,761,975,808/10,106,491,006.70
  6. Step 6: Final answer
    x = 15,159,736,510.05

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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.