Finding the Fourth Proportional to 509,047,038,913.23, 762,706,484,467.57 and 307,164,589,668.62
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Solution
The fourth proportional to 509,047,038,913.23, 762,706,484,467.57 and 307,164,589,668.62 is: 460,225,492,793.82
Step by Step Solution
- Step 1: Write the proportion equation
509,047,038,913.23 : 762,706,484,467.57 = 307,164,589,668.62 : x - Step 2: Convert to fraction form
509,047,038,913.23/762,706,484,467.57 = 307,164,589,668.62/x - Step 3: Cross multiply
509,047,038,913.23x = 762,706,484,467.57 × 307,164,589,668.62 - Step 4: Simplify right side
509,047,038,913.23x = 234,276,424,339,076,816,044,032 - Step 5: Solve for x
x = 234,276,424,339,076,816,044,032/509,047,038,913.23 - Step 6: Final answer
x = 460,225,492,793.82
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.