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Finding the Fourth Proportional to 282,362,259.40, 423,543,389.10 and 282,362,259.40

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Solution

The fourth proportional to 282,362,259.40, 423,543,389.10 and 282,362,259.40 is: 423,543,389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,362,259.40 : 423,543,389.10 = 282,362,259.40 : x
  2. Step 2: Convert to fraction form
    282,362,259.40/423,543,389.10 = 282,362,259.40/x
  3. Step 3: Cross multiply
    282,362,259.40x = 423,543,389.10 × 282,362,259.40
  4. Step 4: Simplify right side
    282,362,259.40x = 119,592,668,300,209,328
  5. Step 5: Solve for x
    x = 119,592,668,300,209,328/282,362,259.40
  6. Step 6: Final answer
    x = 423,543,389.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.