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Finding the Fourth Proportional to 832,154,066.90, 1,245,842,313.15 and 808,266,194.90

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Solution

The fourth proportional to 832,154,066.90, 1,245,842,313.15 and 808,266,194.90 is: 1,210,079,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,154,066.90 : 1,245,842,313.15 = 808,266,194.90 : x
  2. Step 2: Convert to fraction form
    832,154,066.90/1,245,842,313.15 = 808,266,194.90/x
  3. Step 3: Cross multiply
    832,154,066.90x = 1,245,842,313.15 × 808,266,194.90
  4. Step 4: Simplify right side
    832,154,066.90x = 1,006,972,225,895,164,800
  5. Step 5: Solve for x
    x = 1,006,972,225,895,164,800/832,154,066.90
  6. Step 6: Final answer
    x = 1,210,079,077.84

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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.