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Finding the Fourth Proportional to 601,645,497.60, 902,468,246.40 and 170,768,006.40

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Solution

The fourth proportional to 601,645,497.60, 902,468,246.40 and 170,768,006.40 is: 256,152,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,645,497.60 : 902,468,246.40 = 170,768,006.40 : x
  2. Step 2: Convert to fraction form
    601,645,497.60/902,468,246.40 = 170,768,006.40/x
  3. Step 3: Cross multiply
    601,645,497.60x = 902,468,246.40 × 170,768,006.40
  4. Step 4: Simplify right side
    601,645,497.60x = 154,112,703,277,031,968
  5. Step 5: Solve for x
    x = 154,112,703,277,031,968/601,645,497.60
  6. Step 6: Final answer
    x = 256,152,009.60

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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.