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Finding the Fourth Proportional to 771,254,582.81, 1,064,657,167.77 and 520,698,378.07

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Solution

The fourth proportional to 771,254,582.81, 1,064,657,167.77 and 520,698,378.07 is: 718,783,748.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,254,582.81 : 1,064,657,167.77 = 520,698,378.07 : x
  2. Step 2: Convert to fraction form
    771,254,582.81/1,064,657,167.77 = 520,698,378.07/x
  3. Step 3: Cross multiply
    771,254,582.81x = 1,064,657,167.77 × 520,698,378.07
  4. Step 4: Simplify right side
    771,254,582.81x = 554,365,260,450,512,064
  5. Step 5: Solve for x
    x = 554,365,260,450,512,064/771,254,582.81
  6. Step 6: Final answer
    x = 718,783,748.99

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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.