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Finding the Fourth Proportional to 545,140,368,014.75, 817,710,552,022.10 and 545,140,368,014.75

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Solution

The fourth proportional to 545,140,368,014.75, 817,710,552,022.10 and 545,140,368,014.75 is: 817,710,552,022.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,140,368,014.75 : 817,710,552,022.10 = 545,140,368,014.75 : x
  2. Step 2: Convert to fraction form
    545,140,368,014.75/817,710,552,022.10 = 545,140,368,014.75/x
  3. Step 3: Cross multiply
    545,140,368,014.75x = 817,710,552,022.10 × 545,140,368,014.75
  4. Step 4: Simplify right side
    545,140,368,014.75x = 445,767,031,258,871,960,174,592
  5. Step 5: Solve for x
    x = 445,767,031,258,871,960,174,592/545,140,368,014.75
  6. Step 6: Final answer
    x = 817,710,552,022.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.