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Finding the Fourth Proportional to 54,593,495,762.40, 81,890,243,643.60 and 54,593,495,762.40

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Solution

The fourth proportional to 54,593,495,762.40, 81,890,243,643.60 and 54,593,495,762.40 is: 81,890,243,643.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,593,495,762.40 : 81,890,243,643.60 = 54,593,495,762.40 : x
  2. Step 2: Convert to fraction form
    54,593,495,762.40/81,890,243,643.60 = 54,593,495,762.40/x
  3. Step 3: Cross multiply
    54,593,495,762.40x = 81,890,243,643.60 × 54,593,495,762.40
  4. Step 4: Simplify right side
    54,593,495,762.40x = 4,470,674,669,338,780,762,112
  5. Step 5: Solve for x
    x = 4,470,674,669,338,780,762,112/54,593,495,762.40
  6. Step 6: Final answer
    x = 81,890,243,643.60

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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.