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Finding the Fourth Proportional to 713,646,009.37, 985,177,520.27 and 478,610,694.01

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Solution

The fourth proportional to 713,646,009.37, 985,177,520.27 and 478,610,694.01 is: 660,714,822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,646,009.37 : 985,177,520.27 = 478,610,694.01 : x
  2. Step 2: Convert to fraction form
    713,646,009.37/985,177,520.27 = 478,610,694.01/x
  3. Step 3: Cross multiply
    713,646,009.37x = 985,177,520.27 × 478,610,694.01
  4. Step 4: Simplify right side
    713,646,009.37x = 471,516,496,699,475,520
  5. Step 5: Solve for x
    x = 471,516,496,699,475,520/713,646,009.37
  6. Step 6: Final answer
    x = 660,714,822.91

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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.