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Finding the Fourth Proportional to 409,834,613.16, 565,570,075.20 and 221,663,117.16

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Solution

The fourth proportional to 409,834,613.16, 565,570,075.20 and 221,663,117.16 is: 305,894,187.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,834,613.16 : 565,570,075.20 = 221,663,117.16 : x
  2. Step 2: Convert to fraction form
    409,834,613.16/565,570,075.20 = 221,663,117.16/x
  3. Step 3: Cross multiply
    409,834,613.16x = 565,570,075.20 × 221,663,117.16
  4. Step 4: Simplify right side
    409,834,613.16x = 125,366,025,841,247,616
  5. Step 5: Solve for x
    x = 125,366,025,841,247,616/409,834,613.16
  6. Step 6: Final answer
    x = 305,894,187.11

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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.