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Finding the Fourth Proportional to 771,254,582.30, 1,064,657,167.08 and 520,698,377.57

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Solution

The fourth proportional to 771,254,582.30, 1,064,657,167.08 and 520,698,377.57 is: 718,783,748.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,254,582.30 : 1,064,657,167.08 = 520,698,377.57 : x
  2. Step 2: Convert to fraction form
    771,254,582.30/1,064,657,167.08 = 520,698,377.57/x
  3. Step 3: Cross multiply
    771,254,582.30x = 1,064,657,167.08 × 520,698,377.57
  4. Step 4: Simplify right side
    771,254,582.30x = 554,365,259,561,505,152
  5. Step 5: Solve for x
    x = 554,365,259,561,505,152/771,254,582.30
  6. Step 6: Final answer
    x = 718,783,748.31

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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.