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Finding the Fourth Proportional to 972,714,786.14, 1,341,343,083.02 and 832,051,645.47

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Solution

The fourth proportional to 972,714,786.14, 1,341,343,083.02 and 832,051,645.47 is: 1,147,373,038.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,714,786.14 : 1,341,343,083.02 = 832,051,645.47 : x
  2. Step 2: Convert to fraction form
    972,714,786.14/1,341,343,083.02 = 832,051,645.47/x
  3. Step 3: Cross multiply
    972,714,786.14x = 1,341,343,083.02 × 832,051,645.47
  4. Step 4: Simplify right side
    972,714,786.14x = 1,116,066,719,362,433,664
  5. Step 5: Solve for x
    x = 1,116,066,719,362,433,664/972,714,786.14
  6. Step 6: Final answer
    x = 1,147,373,038.08

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Why These Related Problems?

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