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Finding the Fourth Proportional to 873,679,347.40, 1,310,519,021.10 and 414,514,323.40

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Solution

The fourth proportional to 873,679,347.40, 1,310,519,021.10 and 414,514,323.40 is: 621,771,485.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,679,347.40 : 1,310,519,021.10 = 414,514,323.40 : x
  2. Step 2: Convert to fraction form
    873,679,347.40/1,310,519,021.10 = 414,514,323.40/x
  3. Step 3: Cross multiply
    873,679,347.40x = 1,310,519,021.10 × 414,514,323.40
  4. Step 4: Simplify right side
    873,679,347.40x = 543,228,905,334,096,768
  5. Step 5: Solve for x
    x = 543,228,905,334,096,768/873,679,347.40
  6. Step 6: Final answer
    x = 621,771,485.10

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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.