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Finding the Fourth Proportional to 524,355,606,000.45, 786,533,409,000.69 and 524,355,606,000.45

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Solution

The fourth proportional to 524,355,606,000.45, 786,533,409,000.69 and 524,355,606,000.45 is: 786,533,409,000.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,355,606,000.45 : 786,533,409,000.69 = 524,355,606,000.45 : x
  2. Step 2: Convert to fraction form
    524,355,606,000.45/786,533,409,000.69 = 524,355,606,000.45/x
  3. Step 3: Cross multiply
    524,355,606,000.45x = 786,533,409,000.69 × 524,355,606,000.45
  4. Step 4: Simplify right side
    524,355,606,000.45x = 412,423,202,316,156,563,095,552
  5. Step 5: Solve for x
    x = 412,423,202,316,156,563,095,552/524,355,606,000.45
  6. Step 6: Final answer
    x = 786,533,409,000.69

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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.