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Finding the Fourth Proportional to 34,338,866,970.40, 51,508,300,455.60 and 34,338,866,970.40

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Solution

The fourth proportional to 34,338,866,970.40, 51,508,300,455.60 and 34,338,866,970.40 is: 51,508,300,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,338,866,970.40 : 51,508,300,455.60 = 34,338,866,970.40 : x
  2. Step 2: Convert to fraction form
    34,338,866,970.40/51,508,300,455.60 = 34,338,866,970.40/x
  3. Step 3: Cross multiply
    34,338,866,970.40x = 51,508,300,455.60 × 34,338,866,970.40
  4. Step 4: Simplify right side
    34,338,866,970.40x = 1,768,736,677,216,242,106,368
  5. Step 5: Solve for x
    x = 1,768,736,677,216,242,106,368/34,338,866,970.40
  6. Step 6: Final answer
    x = 51,508,300,455.60

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1.5x scale

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.