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Finding the Fourth Proportional to 586,407,686.40, 879,387,580.80 and 177,327,878.40

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Solution

The fourth proportional to 586,407,686.40, 879,387,580.80 and 177,327,878.40 is: 265,924,096.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,407,686.40 : 879,387,580.80 = 177,327,878.40 : x
  2. Step 2: Convert to fraction form
    586,407,686.40/879,387,580.80 = 177,327,878.40/x
  3. Step 3: Cross multiply
    586,407,686.40x = 879,387,580.80 × 177,327,878.40
  4. Step 4: Simplify right side
    586,407,686.40x = 155,939,933,994,572,576
  5. Step 5: Solve for x
    x = 155,939,933,994,572,576/586,407,686.40
  6. Step 6: Final answer
    x = 265,924,096.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.