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Finding the Fourth Proportional to 734,462,813.60, 1,029,608,428 and 734,462,813.60

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Solution

The fourth proportional to 734,462,813.60, 1,029,608,428 and 734,462,813.60 is: 1,029,608,428

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,462,813.60 : 1,029,608,428 = 734,462,813.60 : x
  2. Step 2: Convert to fraction form
    734,462,813.60/1,029,608,428 = 734,462,813.60/x
  3. Step 3: Cross multiply
    734,462,813.60x = 1,029,608,428 × 734,462,813.60
  4. Step 4: Simplify right side
    734,462,813.60x = 756,209,102,935,153,024
  5. Step 5: Solve for x
    x = 756,209,102,935,153,024/734,462,813.60
  6. Step 6: Final answer
    x = 1,029,608,428

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.