Finding the Fourth Proportional to 105,360,564,130.75, 158,071,891,798.36 and 42,443,486,164.99
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Solution
The fourth proportional to 105,360,564,130.75, 158,071,891,798.36 and 42,443,486,164.99 is: 63,677,735,668.65
Step by Step Solution
- Step 1: Write the proportion equation
105,360,564,130.75 : 158,071,891,798.36 = 42,443,486,164.99 : x - Step 2: Convert to fraction form
105,360,564,130.75/158,071,891,798.36 = 42,443,486,164.99/x - Step 3: Cross multiply
105,360,564,130.75x = 158,071,891,798.36 × 42,443,486,164.99 - Step 4: Simplify right side
105,360,564,130.75x = 6,709,122,152,617,487,630,336 - Step 5: Solve for x
x = 6,709,122,152,617,487,630,336/105,360,564,130.75 - Step 6: Final answer
x = 63,677,735,668.65
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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.