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Finding the Fourth Proportional to 18,549,326,065.80, 27,823,989,098.70 and 18,549,326,065.80

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Solution

The fourth proportional to 18,549,326,065.80, 27,823,989,098.70 and 18,549,326,065.80 is: 27,823,989,098.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,549,326,065.80 : 27,823,989,098.70 = 18,549,326,065.80 : x
  2. Step 2: Convert to fraction form
    18,549,326,065.80/27,823,989,098.70 = 18,549,326,065.80/x
  3. Step 3: Cross multiply
    18,549,326,065.80x = 27,823,989,098.70 × 18,549,326,065.80
  4. Step 4: Simplify right side
    18,549,326,065.80x = 516,116,246,243,050,979,328
  5. Step 5: Solve for x
    x = 516,116,246,243,050,979,328/18,549,326,065.80
  6. Step 6: Final answer
    x = 27,823,989,098.70

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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.