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Finding the Fourth Proportional to 40,697,889,765.40, 61,046,834,648.10 and 40,697,889,765.40

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Solution

The fourth proportional to 40,697,889,765.40, 61,046,834,648.10 and 40,697,889,765.40 is: 61,046,834,648.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,697,889,765.40 : 61,046,834,648.10 = 40,697,889,765.40 : x
  2. Step 2: Convert to fraction form
    40,697,889,765.40/61,046,834,648.10 = 40,697,889,765.40/x
  3. Step 3: Cross multiply
    40,697,889,765.40x = 61,046,834,648.10 × 40,697,889,765.40
  4. Step 4: Simplify right side
    40,697,889,765.40x = 2,484,477,347,034,975,174,656
  5. Step 5: Solve for x
    x = 2,484,477,347,034,975,174,656/40,697,889,765.40
  6. Step 6: Final answer
    x = 61,046,834,648.10

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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.