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Finding the Fourth Proportional to 162,660,578,975.40, 243,990,868,463.10 and 162,660,578,975.40

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Solution

The fourth proportional to 162,660,578,975.40, 243,990,868,463.10 and 162,660,578,975.40 is: 243,990,868,463.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,660,578,975.40 : 243,990,868,463.10 = 162,660,578,975.40 : x
  2. Step 2: Convert to fraction form
    162,660,578,975.40/243,990,868,463.10 = 162,660,578,975.40/x
  3. Step 3: Cross multiply
    162,660,578,975.40x = 243,990,868,463.10 × 162,660,578,975.40
  4. Step 4: Simplify right side
    162,660,578,975.40x = 39,687,695,928,918,510,927,872
  5. Step 5: Solve for x
    x = 39,687,695,928,918,510,927,872/162,660,578,975.40
  6. Step 6: Final answer
    x = 243,990,868,463.10

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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.