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Finding the Fourth Proportional to 631,841,569.20, 946,061,742.60 and 631,841,569.20

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Solution

The fourth proportional to 631,841,569.20, 946,061,742.60 and 631,841,569.20 is: 946,061,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,841,569.20 : 946,061,742.60 = 631,841,569.20 : x
  2. Step 2: Convert to fraction form
    631,841,569.20/946,061,742.60 = 631,841,569.20/x
  3. Step 3: Cross multiply
    631,841,569.20x = 946,061,742.60 × 631,841,569.20
  4. Step 4: Simplify right side
    631,841,569.20x = 597,761,136,004,470,528
  5. Step 5: Solve for x
    x = 597,761,136,004,470,528/631,841,569.20
  6. Step 6: Final answer
    x = 946,061,742.60

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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.