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Finding the Fourth Proportional to 162,516,524,909.40, 243,774,787,364.10 and 162,516,524,909.40

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Solution

The fourth proportional to 162,516,524,909.40, 243,774,787,364.10 and 162,516,524,909.40 is: 243,774,787,364.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,516,524,909.40 : 243,774,787,364.10 = 162,516,524,909.40 : x
  2. Step 2: Convert to fraction form
    162,516,524,909.40/243,774,787,364.10 = 162,516,524,909.40/x
  3. Step 3: Cross multiply
    162,516,524,909.40x = 243,774,787,364.10 × 162,516,524,909.40
  4. Step 4: Simplify right side
    162,516,524,909.40x = 39,617,431,302,941,448,339,456
  5. Step 5: Solve for x
    x = 39,617,431,302,941,448,339,456/162,516,524,909.40
  6. Step 6: Final answer
    x = 243,774,787,364.10

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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.