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Finding the Fourth Proportional to 772,913,720.16, 1,066,625,572.14 and 420,492,233.07

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Solution

The fourth proportional to 772,913,720.16, 1,066,625,572.14 and 420,492,233.07 is: 580,281,805.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,913,720.16 : 1,066,625,572.14 = 420,492,233.07 : x
  2. Step 2: Convert to fraction form
    772,913,720.16/1,066,625,572.14 = 420,492,233.07/x
  3. Step 3: Cross multiply
    772,913,720.16x = 1,066,625,572.14 × 420,492,233.07
  4. Step 4: Simplify right side
    772,913,720.16x = 448,507,768,678,714,944
  5. Step 5: Solve for x
    x = 448,507,768,678,714,944/772,913,720.16
  6. Step 6: Final answer
    x = 580,281,805.05

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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.