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Finding the Fourth Proportional to 6,019,366,656,985.70, 9,029,049,985,477.80 and 6,019,366,656,985.70

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Solution

The fourth proportional to 6,019,366,656,985.70, 9,029,049,985,477.80 and 6,019,366,656,985.70 is: 9,029,049,985,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,019,366,656,985.70 : 9,029,049,985,477.80 = 6,019,366,656,985.70 : x
  2. Step 2: Convert to fraction form
    6,019,366,656,985.70/9,029,049,985,477.80 = 6,019,366,656,985.70/x
  3. Step 3: Cross multiply
    6,019,366,656,985.70x = 9,029,049,985,477.80 × 6,019,366,656,985.70
  4. Step 4: Simplify right side
    6,019,366,656,985.70x = 54,349,162,426,842,292,114,423,808
  5. Step 5: Solve for x
    x = 54,349,162,426,842,292,114,423,808/6,019,366,656,985.70
  6. Step 6: Final answer
    x = 9,029,049,985,477.80

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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.