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Finding the Fourth Proportional to 831,670,537.47, 1,147,714,411.64 and 460,398,768.99

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Solution

The fourth proportional to 831,670,537.47, 1,147,714,411.64 and 460,398,768.99 is: 635,355,322.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,670,537.47 : 1,147,714,411.64 = 460,398,768.99 : x
  2. Step 2: Convert to fraction form
    831,670,537.47/1,147,714,411.64 = 460,398,768.99/x
  3. Step 3: Cross multiply
    831,670,537.47x = 1,147,714,411.64 × 460,398,768.99
  4. Step 4: Simplify right side
    831,670,537.47x = 528,406,302,268,836,160
  5. Step 5: Solve for x
    x = 528,406,302,268,836,160/831,670,537.47
  6. Step 6: Final answer
    x = 635,355,322.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.