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Finding the Fourth Proportional to 601,366,802.70, 902,050,204.05 and 601,366,802.70

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Solution

The fourth proportional to 601,366,802.70, 902,050,204.05 and 601,366,802.70 is: 902,050,204.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,366,802.70 : 902,050,204.05 = 601,366,802.70 : x
  2. Step 2: Convert to fraction form
    601,366,802.70/902,050,204.05 = 601,366,802.70/x
  3. Step 3: Cross multiply
    601,366,802.70x = 902,050,204.05 × 601,366,802.70
  4. Step 4: Simplify right side
    601,366,802.70x = 542,463,047,084,431,104
  5. Step 5: Solve for x
    x = 542,463,047,084,431,104/601,366,802.70
  6. Step 6: Final answer
    x = 902,050,204.05

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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.