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Finding the Fourth Proportional to 668,564,928,045.65, 1,002,847,392,068.40 and 668,564,928,045.65

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Solution

The fourth proportional to 668,564,928,045.65, 1,002,847,392,068.40 and 668,564,928,045.65 is: 1,002,847,392,068.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,564,928,045.65 : 1,002,847,392,068.40 = 668,564,928,045.65 : x
  2. Step 2: Convert to fraction form
    668,564,928,045.65/1,002,847,392,068.40 = 668,564,928,045.65/x
  3. Step 3: Cross multiply
    668,564,928,045.65x = 1,002,847,392,068.40 × 668,564,928,045.65
  4. Step 4: Simplify right side
    668,564,928,045.65x = 670,468,594,518,977,706,721,280
  5. Step 5: Solve for x
    x = 670,468,594,518,977,706,721,280/668,564,928,045.65
  6. Step 6: Final answer
    x = 1,002,847,392,068.40

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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.