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Finding the Fourth Proportional to 771,254,584.81, 1,064,657,170.53 and 520,698,380.08

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Solution

The fourth proportional to 771,254,584.81, 1,064,657,170.53 and 520,698,380.08 is: 718,783,751.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,254,584.81 : 1,064,657,170.53 = 520,698,380.08 : x
  2. Step 2: Convert to fraction form
    771,254,584.81/1,064,657,170.53 = 520,698,380.08/x
  3. Step 3: Cross multiply
    771,254,584.81x = 1,064,657,170.53 × 520,698,380.08
  4. Step 4: Simplify right side
    771,254,584.81x = 554,365,264,035,527,296
  5. Step 5: Solve for x
    x = 554,365,264,035,527,296/771,254,584.81
  6. Step 6: Final answer
    x = 718,783,751.76

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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.