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Finding the Fourth Proportional to 824,989,866.51, 1,141,483,903.20 and 719,363,538.14

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Solution

The fourth proportional to 824,989,866.51, 1,141,483,903.20 and 719,363,538.14 is: 995,335,740.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,989,866.51 : 1,141,483,903.20 = 719,363,538.14 : x
  2. Step 2: Convert to fraction form
    824,989,866.51/1,141,483,903.20 = 719,363,538.14/x
  3. Step 3: Cross multiply
    824,989,866.51x = 1,141,483,903.20 × 719,363,538.14
  4. Step 4: Simplify right side
    824,989,866.51x = 821,141,899,330,101,888
  5. Step 5: Solve for x
    x = 821,141,899,330,101,888/824,989,866.51
  6. Step 6: Final answer
    x = 995,335,740.07

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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.