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Finding the Fourth Proportional to 710,473,297.50, 980,403,377.89 and 413,094,442.06

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Solution

The fourth proportional to 710,473,297.50, 980,403,377.89 and 413,094,442.06 is: 570,041,390.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,473,297.50 : 980,403,377.89 = 413,094,442.06 : x
  2. Step 2: Convert to fraction form
    710,473,297.50/980,403,377.89 = 413,094,442.06/x
  3. Step 3: Cross multiply
    710,473,297.50x = 980,403,377.89 × 413,094,442.06
  4. Step 4: Simplify right side
    710,473,297.50x = 404,999,186,383,208,896
  5. Step 5: Solve for x
    x = 404,999,186,383,208,896/710,473,297.50
  6. Step 6: Final answer
    x = 570,041,390.45

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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.