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Finding the Fourth Proportional to 188,210,306,530.90, 282,315,459,796.35 and 188,210,306,530.90

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Solution

The fourth proportional to 188,210,306,530.90, 282,315,459,796.35 and 188,210,306,530.90 is: 282,315,459,796.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,210,306,530.90 : 282,315,459,796.35 = 188,210,306,530.90 : x
  2. Step 2: Convert to fraction form
    188,210,306,530.90/282,315,459,796.35 = 188,210,306,530.90/x
  3. Step 3: Cross multiply
    188,210,306,530.90x = 282,315,459,796.35 × 188,210,306,530.90
  4. Step 4: Simplify right side
    188,210,306,530.90x = 53,134,679,226,683,005,861,888
  5. Step 5: Solve for x
    x = 53,134,679,226,683,005,861,888/188,210,306,530.90
  6. Step 6: Final answer
    x = 282,315,459,796.35

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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.