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Finding the Fourth Proportional to 715,824,325.34, 987,822,085.89 and 414,422,347.24

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Solution

The fourth proportional to 715,824,325.34, 987,822,085.89 and 414,422,347.24 is: 571,893,875.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,824,325.34 : 987,822,085.89 = 414,422,347.24 : x
  2. Step 2: Convert to fraction form
    715,824,325.34/987,822,085.89 = 414,422,347.24/x
  3. Step 3: Cross multiply
    715,824,325.34x = 987,822,085.89 × 414,422,347.24
  4. Step 4: Simplify right side
    715,824,325.34x = 409,375,547,487,577,152
  5. Step 5: Solve for x
    x = 409,375,547,487,577,152/715,824,325.34
  6. Step 6: Final answer
    x = 571,893,875.35

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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.