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Finding the Fourth Proportional to 6,683,411,378.70, 10,025,117,068.05 and 6,683,411,378.70

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Solution

The fourth proportional to 6,683,411,378.70, 10,025,117,068.05 and 6,683,411,378.70 is: 10,025,117,068.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683,411,378.70 : 10,025,117,068.05 = 6,683,411,378.70 : x
  2. Step 2: Convert to fraction form
    6,683,411,378.70/10,025,117,068.05 = 6,683,411,378.70/x
  3. Step 3: Cross multiply
    6,683,411,378.70x = 10,025,117,068.05 × 6,683,411,378.70
  4. Step 4: Simplify right side
    6,683,411,378.70x = 67,001,981,485,404,946,432
  5. Step 5: Solve for x
    x = 67,001,981,485,404,946,432/6,683,411,378.70
  6. Step 6: Final answer
    x = 10,025,117,068.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.