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Finding the Fourth Proportional to 10,106,491,070.70, 15,159,736,606.05 and 10,106,491,070.70

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Solution

The fourth proportional to 10,106,491,070.70, 15,159,736,606.05 and 10,106,491,070.70 is: 15,159,736,606.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106,491,070.70 : 15,159,736,606.05 = 10,106,491,070.70 : x
  2. Step 2: Convert to fraction form
    10,106,491,070.70/15,159,736,606.05 = 10,106,491,070.70/x
  3. Step 3: Cross multiply
    10,106,491,070.70x = 15,159,736,606.05 × 10,106,491,070.70
  4. Step 4: Simplify right side
    10,106,491,070.70x = 153,211,742,643,208,257,536
  5. Step 5: Solve for x
    x = 153,211,742,643,208,257,536/10,106,491,070.70
  6. Step 6: Final answer
    x = 15,159,736,606.05

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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.