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Finding the Fourth Proportional to 590,975,201.70, 886,462,802.55 and 181,978,208.10

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Solution

The fourth proportional to 590,975,201.70, 886,462,802.55 and 181,978,208.10 is: 272,967,312.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,975,201.70 : 886,462,802.55 = 181,978,208.10 : x
  2. Step 2: Convert to fraction form
    590,975,201.70/886,462,802.55 = 181,978,208.10/x
  3. Step 3: Cross multiply
    590,975,201.70x = 886,462,802.55 × 181,978,208.10
  4. Step 4: Simplify right side
    590,975,201.70x = 161,316,912,355,353,088
  5. Step 5: Solve for x
    x = 161,316,912,355,353,088/590,975,201.70
  6. Step 6: Final answer
    x = 272,967,312.15

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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.