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Finding the Fourth Proportional to 70,578,865,121.40, 105,868,297,682.10 and 70,578,865,121.40

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Solution

The fourth proportional to 70,578,865,121.40, 105,868,297,682.10 and 70,578,865,121.40 is: 105,868,297,682.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,578,865,121.40 : 105,868,297,682.10 = 70,578,865,121.40 : x
  2. Step 2: Convert to fraction form
    70,578,865,121.40/105,868,297,682.10 = 70,578,865,121.40/x
  3. Step 3: Cross multiply
    70,578,865,121.40x = 105,868,297,682.10 × 70,578,865,121.40
  4. Step 4: Simplify right side
    70,578,865,121.40x = 7,472,064,302,737,159,880,704
  5. Step 5: Solve for x
    x = 7,472,064,302,737,159,880,704/70,578,865,121.40
  6. Step 6: Final answer
    x = 105,868,297,682.10

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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.