Finding the Fourth Proportional to 282,756,136,953.80, 424,134,205,430.70 and 282,756,136,953.80
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Solution
The fourth proportional to 282,756,136,953.80, 424,134,205,430.70 and 282,756,136,953.80 is: 424,134,205,430.70
Step by Step Solution
- Step 1: Write the proportion equation
282,756,136,953.80 : 424,134,205,430.70 = 282,756,136,953.80 : x - Step 2: Convert to fraction form
282,756,136,953.80/424,134,205,430.70 = 282,756,136,953.80/x - Step 3: Cross multiply
282,756,136,953.80x = 424,134,205,430.70 × 282,756,136,953.80 - Step 4: Simplify right side
282,756,136,953.80x = 119,926,549,477,554,145,722,368 - Step 5: Solve for x
x = 119,926,549,477,554,145,722,368/282,756,136,953.80 - Step 6: Final answer
x = 424,134,205,430.70
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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.