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Finding the Fourth Proportional to 769,559,407.38, 1,061,963,530.89 and 417,127,831.32

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Solution

The fourth proportional to 769,559,407.38, 1,061,963,530.89 and 417,127,831.32 is: 575,620,985.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,559,407.38 : 1,061,963,530.89 = 417,127,831.32 : x
  2. Step 2: Convert to fraction form
    769,559,407.38/1,061,963,530.89 = 417,127,831.32/x
  3. Step 3: Cross multiply
    769,559,407.38x = 1,061,963,530.89 × 417,127,831.32
  4. Step 4: Simplify right side
    769,559,407.38x = 442,974,544,581,075,520
  5. Step 5: Solve for x
    x = 442,974,544,581,075,520/769,559,407.38
  6. Step 6: Final answer
    x = 575,620,985.64

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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.