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Finding the Fourth Proportional to 539,016,689.40, 808,525,034.10 and 470,992,241.40

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Solution

The fourth proportional to 539,016,689.40, 808,525,034.10 and 470,992,241.40 is: 706,488,362.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,016,689.40 : 808,525,034.10 = 470,992,241.40 : x
  2. Step 2: Convert to fraction form
    539,016,689.40/808,525,034.10 = 470,992,241.40/x
  3. Step 3: Cross multiply
    539,016,689.40x = 808,525,034.10 × 470,992,241.40
  4. Step 4: Simplify right side
    539,016,689.40x = 380,809,018,038,770,432
  5. Step 5: Solve for x
    x = 380,809,018,038,770,432/539,016,689.40
  6. Step 6: Final answer
    x = 706,488,362.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.