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Finding the Fourth Proportional to 545,140,370,807.75, 817,710,556,211.70 and 545,140,370,807.75

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Solution

The fourth proportional to 545,140,370,807.75, 817,710,556,211.70 and 545,140,370,807.75 is: 817,710,556,211.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,140,370,807.75 : 817,710,556,211.70 = 545,140,370,807.75 : x
  2. Step 2: Convert to fraction form
    545,140,370,807.75/817,710,556,211.70 = 545,140,370,807.75/x
  3. Step 3: Cross multiply
    545,140,370,807.75x = 817,710,556,211.70 × 545,140,370,807.75
  4. Step 4: Simplify right side
    545,140,370,807.75x = 445,767,035,826,657,592,082,432
  5. Step 5: Solve for x
    x = 445,767,035,826,657,592,082,432/545,140,370,807.75
  6. Step 6: Final answer
    x = 817,710,556,211.70

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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.