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Finding the Fourth Proportional to 594,505,341,036.45, 891,758,011,554.67 and 594,505,341,036.45

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Solution

The fourth proportional to 594,505,341,036.45, 891,758,011,554.67 and 594,505,341,036.45 is: 891,758,011,554.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,505,341,036.45 : 891,758,011,554.67 = 594,505,341,036.45 : x
  2. Step 2: Convert to fraction form
    594,505,341,036.45/891,758,011,554.67 = 594,505,341,036.45/x
  3. Step 3: Cross multiply
    594,505,341,036.45x = 891,758,011,554.67 × 594,505,341,036.45
  4. Step 4: Simplify right side
    594,505,341,036.45x = 530,154,900,781,295,567,110,144
  5. Step 5: Solve for x
    x = 530,154,900,781,295,567,110,144/594,505,341,036.45
  6. Step 6: Final answer
    x = 891,758,011,554.67

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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.