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Finding the Fourth Proportional to 96,884,493,477.60, 145,326,740,216.40 and 96,884,493,477.60

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Solution

The fourth proportional to 96,884,493,477.60, 145,326,740,216.40 and 96,884,493,477.60 is: 145,326,740,216.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,884,493,477.60 : 145,326,740,216.40 = 96,884,493,477.60 : x
  2. Step 2: Convert to fraction form
    96,884,493,477.60/145,326,740,216.40 = 96,884,493,477.60/x
  3. Step 3: Cross multiply
    96,884,493,477.60x = 145,326,740,216.40 × 96,884,493,477.60
  4. Step 4: Simplify right side
    96,884,493,477.60x = 14,079,907,614,616,675,418,112
  5. Step 5: Solve for x
    x = 14,079,907,614,616,675,418,112/96,884,493,477.60
  6. Step 6: Final answer
    x = 145,326,740,216.40

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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.