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Finding the Fourth Proportional to 70,797,564,008.10, 106,196,346,012.15 and 70,797,564,008.10

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Solution

The fourth proportional to 70,797,564,008.10, 106,196,346,012.15 and 70,797,564,008.10 is: 106,196,346,012.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,797,564,008.10 : 106,196,346,012.15 = 70,797,564,008.10 : x
  2. Step 2: Convert to fraction form
    70,797,564,008.10/106,196,346,012.15 = 70,797,564,008.10/x
  3. Step 3: Cross multiply
    70,797,564,008.10x = 106,196,346,012.15 × 70,797,564,008.10
  4. Step 4: Simplify right side
    70,797,564,008.10x = 7,518,442,604,221,525,131,264
  5. Step 5: Solve for x
    x = 7,518,442,604,221,525,131,264/70,797,564,008.10
  6. Step 6: Final answer
    x = 106,196,346,012.15

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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.