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Finding the Fourth Proportional to 105,953,043.60, 147,994,138.80 and 105,953,043.60

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Solution

The fourth proportional to 105,953,043.60, 147,994,138.80 and 105,953,043.60 is: 147,994,138.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,953,043.60 : 147,994,138.80 = 105,953,043.60 : x
  2. Step 2: Convert to fraction form
    105,953,043.60/147,994,138.80 = 105,953,043.60/x
  3. Step 3: Cross multiply
    105,953,043.60x = 147,994,138.80 × 105,953,043.60
  4. Step 4: Simplify right side
    105,953,043.60x = 15,680,429,440,820,852
  5. Step 5: Solve for x
    x = 15,680,429,440,820,852/105,953,043.60
  6. Step 6: Final answer
    x = 147,994,138.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.