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Finding the Fourth Proportional to 430,920,140.30, 604,818,746.50 and 430,920,140.30

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Solution

The fourth proportional to 430,920,140.30, 604,818,746.50 and 430,920,140.30 is: 604,818,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,920,140.30 : 604,818,746.50 = 430,920,140.30 : x
  2. Step 2: Convert to fraction form
    430,920,140.30/604,818,746.50 = 430,920,140.30/x
  3. Step 3: Cross multiply
    430,920,140.30x = 604,818,746.50 × 430,920,140.30
  4. Step 4: Simplify right side
    430,920,140.30x = 260,628,579,097,850,144
  5. Step 5: Solve for x
    x = 260,628,579,097,850,144/430,920,140.30
  6. Step 6: Final answer
    x = 604,818,746.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.