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Finding the Fourth Proportional to 19,683,000.30, 27,492,427.50 and 19,683,000.30

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Solution

The fourth proportional to 19,683,000.30, 27,492,427.50 and 19,683,000.30 is: 27,492,427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683,000.30 : 27,492,427.50 = 19,683,000.30 : x
  2. Step 2: Convert to fraction form
    19,683,000.30/27,492,427.50 = 19,683,000.30/x
  3. Step 3: Cross multiply
    19,683,000.30x = 27,492,427.50 × 19,683,000.30
  4. Step 4: Simplify right side
    19,683,000.30x = 541,133,458,730,228.25
  5. Step 5: Solve for x
    x = 541,133,458,730,228.25/19,683,000.30
  6. Step 6: Final answer
    x = 27,492,427.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.