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Finding the Fourth Proportional to 261,779,077,404.60, 392,668,616,106.90 and 261,779,077,404.60

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Solution

The fourth proportional to 261,779,077,404.60, 392,668,616,106.90 and 261,779,077,404.60 is: 392,668,616,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,779,077,404.60 : 392,668,616,106.90 = 261,779,077,404.60 : x
  2. Step 2: Convert to fraction form
    261,779,077,404.60/392,668,616,106.90 = 261,779,077,404.60/x
  3. Step 3: Cross multiply
    261,779,077,404.60x = 392,668,616,106.90 × 261,779,077,404.60
  4. Step 4: Simplify right side
    261,779,077,404.60x = 102,792,428,050,205,349,249,024
  5. Step 5: Solve for x
    x = 102,792,428,050,205,349,249,024/261,779,077,404.60
  6. Step 6: Final answer
    x = 392,668,616,106.90

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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.