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Finding the Fourth Proportional to 145,326,740,218.40, 217,990,110,327.60 and 145,326,740,218.40

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Solution

The fourth proportional to 145,326,740,218.40, 217,990,110,327.60 and 145,326,740,218.40 is: 217,990,110,327.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,326,740,218.40 : 217,990,110,327.60 = 145,326,740,218.40 : x
  2. Step 2: Convert to fraction form
    145,326,740,218.40/217,990,110,327.60 = 145,326,740,218.40/x
  3. Step 3: Cross multiply
    145,326,740,218.40x = 217,990,110,327.60 × 145,326,740,218.40
  4. Step 4: Simplify right side
    145,326,740,218.40x = 31,679,792,133,759,479,840,768
  5. Step 5: Solve for x
    x = 31,679,792,133,759,479,840,768/145,326,740,218.40
  6. Step 6: Final answer
    x = 217,990,110,327.60

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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.