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Finding the Fourth Proportional to 549,863,641.17, 758,806,490.06 and 298,968,029.58

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Solution

The fourth proportional to 549,863,641.17, 758,806,490.06 and 298,968,029.58 is: 412,572,980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,863,641.17 : 758,806,490.06 = 298,968,029.58 : x
  2. Step 2: Convert to fraction form
    549,863,641.17/758,806,490.06 = 298,968,029.58/x
  3. Step 3: Cross multiply
    549,863,641.17x = 758,806,490.06 × 298,968,029.58
  4. Step 4: Simplify right side
    549,863,641.17x = 226,858,881,164,259,200
  5. Step 5: Solve for x
    x = 226,858,881,164,259,200/549,863,641.17
  6. Step 6: Final answer
    x = 412,572,980.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.