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Finding the Fourth Proportional to 524,551,034.80, 786,154,705.80 and 402,778,874.80

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Solution

The fourth proportional to 524,551,034.80, 786,154,705.80 and 402,778,874.80 is: 603,652,431.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,551,034.80 : 786,154,705.80 = 402,778,874.80 : x
  2. Step 2: Convert to fraction form
    524,551,034.80/786,154,705.80 = 402,778,874.80/x
  3. Step 3: Cross multiply
    524,551,034.80x = 786,154,705.80 × 402,778,874.80
  4. Step 4: Simplify right side
    524,551,034.80x = 316,646,507,820,849,024
  5. Step 5: Solve for x
    x = 316,646,507,820,849,024/524,551,034.80
  6. Step 6: Final answer
    x = 603,652,431.92

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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.