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Finding the Fourth Proportional to 713,646,008.37, 985,177,518.89 and 478,610,693.01

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Solution

The fourth proportional to 713,646,008.37, 985,177,518.89 and 478,610,693.01 is: 660,714,821.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,646,008.37 : 985,177,518.89 = 478,610,693.01 : x
  2. Step 2: Convert to fraction form
    713,646,008.37/985,177,518.89 = 478,610,693.01/x
  3. Step 3: Cross multiply
    713,646,008.37x = 985,177,518.89 × 478,610,693.01
  4. Step 4: Simplify right side
    713,646,008.37x = 471,516,495,051,422,208
  5. Step 5: Solve for x
    x = 471,516,495,051,422,208/713,646,008.37
  6. Step 6: Final answer
    x = 660,714,821.52

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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.