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Finding the Fourth Proportional to 243,990,868,875.60, 365,986,303,313.40 and 243,990,868,875.60

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Solution

The fourth proportional to 243,990,868,875.60, 365,986,303,313.40 and 243,990,868,875.60 is: 365,986,303,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,990,868,875.60 : 365,986,303,313.40 = 243,990,868,875.60 : x
  2. Step 2: Convert to fraction form
    243,990,868,875.60/365,986,303,313.40 = 243,990,868,875.60/x
  3. Step 3: Cross multiply
    243,990,868,875.60x = 365,986,303,313.40 × 243,990,868,875.60
  4. Step 4: Simplify right side
    243,990,868,875.60x = 89,297,316,142,005,364,981,760
  5. Step 5: Solve for x
    x = 89,297,316,142,005,364,981,760/243,990,868,875.60
  6. Step 6: Final answer
    x = 365,986,303,313.40

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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.