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Finding the Fourth Proportional to 40,697,890,271.90, 61,046,835,407.85 and 40,697,890,271.90

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Solution

The fourth proportional to 40,697,890,271.90, 61,046,835,407.85 and 40,697,890,271.90 is: 61,046,835,407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,697,890,271.90 : 61,046,835,407.85 = 40,697,890,271.90 : x
  2. Step 2: Convert to fraction form
    40,697,890,271.90/61,046,835,407.85 = 40,697,890,271.90/x
  3. Step 3: Cross multiply
    40,697,890,271.90x = 61,046,835,407.85 × 40,697,890,271.90
  4. Step 4: Simplify right side
    40,697,890,271.90x = 2,484,477,408,875,419,009,024
  5. Step 5: Solve for x
    x = 2,484,477,408,875,419,009,024/40,697,890,271.90
  6. Step 6: Final answer
    x = 61,046,835,407.85

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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.