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Finding the Fourth Proportional to 96,873,312,243.60, 145,309,968,365.40 and 96,873,312,243.60

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Solution

The fourth proportional to 96,873,312,243.60, 145,309,968,365.40 and 96,873,312,243.60 is: 145,309,968,365.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,873,312,243.60 : 145,309,968,365.40 = 96,873,312,243.60 : x
  2. Step 2: Convert to fraction form
    96,873,312,243.60/145,309,968,365.40 = 96,873,312,243.60/x
  3. Step 3: Cross multiply
    96,873,312,243.60x = 145,309,968,365.40 × 96,873,312,243.60
  4. Step 4: Simplify right side
    96,873,312,243.60x = 14,076,657,937,569,032,437,760
  5. Step 5: Solve for x
    x = 14,076,657,937,569,032,437,760/96,873,312,243.60
  6. Step 6: Final answer
    x = 145,309,968,365.40

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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.